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Finding the Third Proportional to 47,277 and 63,082.13

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Solution

The third proportional to 47,277 and 63,082.13 is: 84,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,277 : 63,082.13 = 63,082.13 : x
  2. Step 2: Convert to fraction form
    47,277/63,082.13 = 63,082.13/x
  3. Step 3: Cross multiply
    47,277x = 63,082.13 × 63,082.13
  4. Step 4: Simplify right side
    47,277x = 3,979,354,494.52
  5. Step 5: Solve for x
    x = 3,979,354,494.52/47,277
  6. Step 6: Final answer
    x = 84,171.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.