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Finding the Third Proportional to 40,716 and 59,615

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Solution

The third proportional to 40,716 and 59,615 is: 87,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,716 : 59,615 = 59,615 : x
  2. Step 2: Convert to fraction form
    40,716/59,615 = 59,615/x
  3. Step 3: Cross multiply
    40,716x = 59,615 × 59,615
  4. Step 4: Simplify right side
    40,716x = 3,553,948,225
  5. Step 5: Solve for x
    x = 3,553,948,225/40,716
  6. Step 6: Final answer
    x = 87,286.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.