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Finding the Third Proportional to 39,646 and 56,371

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Solution

The third proportional to 39,646 and 56,371 is: 80,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646 : 56,371 = 56,371 : x
  2. Step 2: Convert to fraction form
    39,646/56,371 = 56,371/x
  3. Step 3: Cross multiply
    39,646x = 56,371 × 56,371
  4. Step 4: Simplify right side
    39,646x = 3,177,689,641
  5. Step 5: Solve for x
    x = 3,177,689,641/39,646
  6. Step 6: Final answer
    x = 80,151.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.