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Finding the Third Proportional to 13,653 and 29,902

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Solution

The third proportional to 13,653 and 29,902 is: 65,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653 : 29,902 = 29,902 : x
  2. Step 2: Convert to fraction form
    13,653/29,902 = 29,902/x
  3. Step 3: Cross multiply
    13,653x = 29,902 × 29,902
  4. Step 4: Simplify right side
    13,653x = 894,129,604
  5. Step 5: Solve for x
    x = 894,129,604/13,653
  6. Step 6: Final answer
    x = 65,489.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.