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Finding the Third Proportional to 29,782 and 42,331

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Solution

The third proportional to 29,782 and 42,331 is: 60,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782 : 42,331 = 42,331 : x
  2. Step 2: Convert to fraction form
    29,782/42,331 = 42,331/x
  3. Step 3: Cross multiply
    29,782x = 42,331 × 42,331
  4. Step 4: Simplify right side
    29,782x = 1,791,913,561
  5. Step 5: Solve for x
    x = 1,791,913,561/29,782
  6. Step 6: Final answer
    x = 60,167.67

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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.