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Finding the Third Proportional to 10,509.75 and 24,968.25

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Solution

The third proportional to 10,509.75 and 24,968.25 is: 59,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 24,968.25 = 24,968.25 : x
  2. Step 2: Convert to fraction form
    10,509.75/24,968.25 = 24,968.25/x
  3. Step 3: Cross multiply
    10,509.75x = 24,968.25 × 24,968.25
  4. Step 4: Simplify right side
    10,509.75x = 623,413,508.06
  5. Step 5: Solve for x
    x = 623,413,508.06/10,509.75
  6. Step 6: Final answer
    x = 59,317.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.