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Finding the Third Proportional to 47,214 and 70,931

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Solution

The third proportional to 47,214 and 70,931 is: 106,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 70,931 = 70,931 : x
  2. Step 2: Convert to fraction form
    47,214/70,931 = 70,931/x
  3. Step 3: Cross multiply
    47,214x = 70,931 × 70,931
  4. Step 4: Simplify right side
    47,214x = 5,031,206,761
  5. Step 5: Solve for x
    x = 5,031,206,761/47,214
  6. Step 6: Final answer
    x = 106,561.76

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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.