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Finding the Third Proportional to 35,569 and 77,414

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Solution

The third proportional to 35,569 and 77,414 is: 168,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569 : 77,414 = 77,414 : x
  2. Step 2: Convert to fraction form
    35,569/77,414 = 77,414/x
  3. Step 3: Cross multiply
    35,569x = 77,414 × 77,414
  4. Step 4: Simplify right side
    35,569x = 5,992,927,396
  5. Step 5: Solve for x
    x = 5,992,927,396/35,569
  6. Step 6: Final answer
    x = 168,487.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.