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Finding the Third Proportional to 29,853 and 62,770

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Solution

The third proportional to 29,853 and 62,770 is: 131,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853 : 62,770 = 62,770 : x
  2. Step 2: Convert to fraction form
    29,853/62,770 = 62,770/x
  3. Step 3: Cross multiply
    29,853x = 62,770 × 62,770
  4. Step 4: Simplify right side
    29,853x = 3,940,072,900
  5. Step 5: Solve for x
    x = 3,940,072,900/29,853
  6. Step 6: Final answer
    x = 131,982.48

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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.