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Finding the Third Proportional to 56,598 and 76,593

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Solution

The third proportional to 56,598 and 76,593 is: 103,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598 : 76,593 = 76,593 : x
  2. Step 2: Convert to fraction form
    56,598/76,593 = 76,593/x
  3. Step 3: Cross multiply
    56,598x = 76,593 × 76,593
  4. Step 4: Simplify right side
    56,598x = 5,866,487,649
  5. Step 5: Solve for x
    x = 5,866,487,649/56,598
  6. Step 6: Final answer
    x = 103,651.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.