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Finding the Third Proportional to 47,782 and 71,658

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Solution

The third proportional to 47,782 and 71,658 is: 107,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782 : 71,658 = 71,658 : x
  2. Step 2: Convert to fraction form
    47,782/71,658 = 71,658/x
  3. Step 3: Cross multiply
    47,782x = 71,658 × 71,658
  4. Step 4: Simplify right side
    47,782x = 5,134,868,964
  5. Step 5: Solve for x
    x = 5,134,868,964/47,782
  6. Step 6: Final answer
    x = 107,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.