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Finding the Third Proportional to 39,716 and 58,357

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Solution

The third proportional to 39,716 and 58,357 is: 85,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716 : 58,357 = 58,357 : x
  2. Step 2: Convert to fraction form
    39,716/58,357 = 58,357/x
  3. Step 3: Cross multiply
    39,716x = 58,357 × 58,357
  4. Step 4: Simplify right side
    39,716x = 3,405,539,449
  5. Step 5: Solve for x
    x = 3,405,539,449/39,716
  6. Step 6: Final answer
    x = 85,747.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.