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Finding the Third Proportional to 7,337 and 8,471

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Solution

The third proportional to 7,337 and 8,471 is: 9,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337 : 8,471 = 8,471 : x
  2. Step 2: Convert to fraction form
    7,337/8,471 = 8,471/x
  3. Step 3: Cross multiply
    7,337x = 8,471 × 8,471
  4. Step 4: Simplify right side
    7,337x = 71,757,841
  5. Step 5: Solve for x
    x = 71,757,841/7,337
  6. Step 6: Final answer
    x = 9,780.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.