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Finding the Third Proportional to 56,601.75 and 83,598

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Solution

The third proportional to 56,601.75 and 83,598 is: 123,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,601.75 : 83,598 = 83,598 : x
  2. Step 2: Convert to fraction form
    56,601.75/83,598 = 83,598/x
  3. Step 3: Cross multiply
    56,601.75x = 83,598 × 83,598
  4. Step 4: Simplify right side
    56,601.75x = 6,988,625,604
  5. Step 5: Solve for x
    x = 6,988,625,604/56,601.75
  6. Step 6: Final answer
    x = 123,470.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.