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Finding the Third Proportional to 7,471 and 10,471

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Solution

The third proportional to 7,471 and 10,471 is: 14,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471 : 10,471 = 10,471 : x
  2. Step 2: Convert to fraction form
    7,471/10,471 = 10,471/x
  3. Step 3: Cross multiply
    7,471x = 10,471 × 10,471
  4. Step 4: Simplify right side
    7,471x = 109,641,841
  5. Step 5: Solve for x
    x = 109,641,841/7,471
  6. Step 6: Final answer
    x = 14,675.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.