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Finding the Third Proportional to 40,471 and 61,271

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Solution

The third proportional to 40,471 and 61,271 is: 92,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,471 : 61,271 = 61,271 : x
  2. Step 2: Convert to fraction form
    40,471/61,271 = 61,271/x
  3. Step 3: Cross multiply
    40,471x = 61,271 × 61,271
  4. Step 4: Simplify right side
    40,471x = 3,754,135,441
  5. Step 5: Solve for x
    x = 3,754,135,441/40,471
  6. Step 6: Final answer
    x = 92,761.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.