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Finding the Third Proportional to 47,396 and 71,214

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Solution

The third proportional to 47,396 and 71,214 is: 107,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,396 : 71,214 = 71,214 : x
  2. Step 2: Convert to fraction form
    47,396/71,214 = 71,214/x
  3. Step 3: Cross multiply
    47,396x = 71,214 × 71,214
  4. Step 4: Simplify right side
    47,396x = 5,071,433,796
  5. Step 5: Solve for x
    x = 5,071,433,796/47,396
  6. Step 6: Final answer
    x = 107,001.30

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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.