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Finding the Third Proportional to 57,936 and 77,598

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Solution

The third proportional to 57,936 and 77,598 is: 103,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,936 : 77,598 = 77,598 : x
  2. Step 2: Convert to fraction form
    57,936/77,598 = 77,598/x
  3. Step 3: Cross multiply
    57,936x = 77,598 × 77,598
  4. Step 4: Simplify right side
    57,936x = 6,021,449,604
  5. Step 5: Solve for x
    x = 6,021,449,604/57,936
  6. Step 6: Final answer
    x = 103,932.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.