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Finding the Third Proportional to 29,902 and 40,629

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Solution

The third proportional to 29,902 and 40,629 is: 55,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 40,629 = 40,629 : x
  2. Step 2: Convert to fraction form
    29,902/40,629 = 40,629/x
  3. Step 3: Cross multiply
    29,902x = 40,629 × 40,629
  4. Step 4: Simplify right side
    29,902x = 1,650,715,641
  5. Step 5: Solve for x
    x = 1,650,715,641/29,902
  6. Step 6: Final answer
    x = 55,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.