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Finding the Third Proportional to 35,750 and 77,725

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Solution

The third proportional to 35,750 and 77,725 is: 168,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750 : 77,725 = 77,725 : x
  2. Step 2: Convert to fraction form
    35,750/77,725 = 77,725/x
  3. Step 3: Cross multiply
    35,750x = 77,725 × 77,725
  4. Step 4: Simplify right side
    35,750x = 6,041,175,625
  5. Step 5: Solve for x
    x = 6,041,175,625/35,750
  6. Step 6: Final answer
    x = 168,983.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.