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Finding the Third Proportional to 47,595 and 71,402

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Solution

The third proportional to 47,595 and 71,402 is: 107,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,595 : 71,402 = 71,402 : x
  2. Step 2: Convert to fraction form
    47,595/71,402 = 71,402/x
  3. Step 3: Cross multiply
    47,595x = 71,402 × 71,402
  4. Step 4: Simplify right side
    47,595x = 5,098,245,604
  5. Step 5: Solve for x
    x = 5,098,245,604/47,595
  6. Step 6: Final answer
    x = 107,117.25

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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.