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Finding the Third Proportional to 35,830 and 52,663

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Solution

The third proportional to 35,830 and 52,663 is: 77,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830 : 52,663 = 52,663 : x
  2. Step 2: Convert to fraction form
    35,830/52,663 = 52,663/x
  3. Step 3: Cross multiply
    35,830x = 52,663 × 52,663
  4. Step 4: Simplify right side
    35,830x = 2,773,391,569
  5. Step 5: Solve for x
    x = 2,773,391,569/35,830
  6. Step 6: Final answer
    x = 77,404.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.