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Finding the Third Proportional to 4,151.88 and 9,082.24

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Solution

The third proportional to 4,151.88 and 9,082.24 is: 19,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.88 : 9,082.24 = 9,082.24 : x
  2. Step 2: Convert to fraction form
    4,151.88/9,082.24 = 9,082.24/x
  3. Step 3: Cross multiply
    4,151.88x = 9,082.24 × 9,082.24
  4. Step 4: Simplify right side
    4,151.88x = 82,487,149.76
  5. Step 5: Solve for x
    x = 82,487,149.76/4,151.88
  6. Step 6: Final answer
    x = 19,867.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.