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Finding the Third Proportional to 13,807.13 and 29,256.19

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Solution

The third proportional to 13,807.13 and 29,256.19 is: 61,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.13 : 29,256.19 = 29,256.19 : x
  2. Step 2: Convert to fraction form
    13,807.13/29,256.19 = 29,256.19/x
  3. Step 3: Cross multiply
    13,807.13x = 29,256.19 × 29,256.19
  4. Step 4: Simplify right side
    13,807.13x = 855,924,507.04
  5. Step 5: Solve for x
    x = 855,924,507.04/13,807.13
  6. Step 6: Final answer
    x = 61,991.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.