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Finding the Third Proportional to 24,626.25 and 51,004.13

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Solution

The third proportional to 24,626.25 and 51,004.13 is: 105,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626.25 : 51,004.13 = 51,004.13 : x
  2. Step 2: Convert to fraction form
    24,626.25/51,004.13 = 51,004.13/x
  3. Step 3: Cross multiply
    24,626.25x = 51,004.13 × 51,004.13
  4. Step 4: Simplify right side
    24,626.25x = 2,601,420,767.02
  5. Step 5: Solve for x
    x = 2,601,420,767.02/24,626.25
  6. Step 6: Final answer
    x = 105,636.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.