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Finding the Third Proportional to 47,931 and 71,754

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Solution

The third proportional to 47,931 and 71,754 is: 107,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931 : 71,754 = 71,754 : x
  2. Step 2: Convert to fraction form
    47,931/71,754 = 71,754/x
  3. Step 3: Cross multiply
    47,931x = 71,754 × 71,754
  4. Step 4: Simplify right side
    47,931x = 5,148,636,516
  5. Step 5: Solve for x
    x = 5,148,636,516/47,931
  6. Step 6: Final answer
    x = 107,417.67

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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.