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Finding the Third Proportional to 39,984 and 57,591

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Solution

The third proportional to 39,984 and 57,591 is: 82,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 57,591 = 57,591 : x
  2. Step 2: Convert to fraction form
    39,984/57,591 = 57,591/x
  3. Step 3: Cross multiply
    39,984x = 57,591 × 57,591
  4. Step 4: Simplify right side
    39,984x = 3,316,723,281
  5. Step 5: Solve for x
    x = 3,316,723,281/39,984
  6. Step 6: Final answer
    x = 82,951.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.