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Finding the Third Proportional to 24,778.13 and 51,608.25

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Solution

The third proportional to 24,778.13 and 51,608.25 is: 107,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.13 : 51,608.25 = 51,608.25 : x
  2. Step 2: Convert to fraction form
    24,778.13/51,608.25 = 51,608.25/x
  3. Step 3: Cross multiply
    24,778.13x = 51,608.25 × 51,608.25
  4. Step 4: Simplify right side
    24,778.13x = 2,663,411,468.06
  5. Step 5: Solve for x
    x = 2,663,411,468.06/24,778.13
  6. Step 6: Final answer
    x = 107,490.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.