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Finding the Third Proportional to 29,797 and 62,718

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Solution

The third proportional to 29,797 and 62,718 is: 132,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797 : 62,718 = 62,718 : x
  2. Step 2: Convert to fraction form
    29,797/62,718 = 62,718/x
  3. Step 3: Cross multiply
    29,797x = 62,718 × 62,718
  4. Step 4: Simplify right side
    29,797x = 3,933,547,524
  5. Step 5: Solve for x
    x = 3,933,547,524/29,797
  6. Step 6: Final answer
    x = 132,011.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.