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Finding the Third Proportional to 10,785.66 and 24,082.31

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Solution

The third proportional to 10,785.66 and 24,082.31 is: 53,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.66 : 24,082.31 = 24,082.31 : x
  2. Step 2: Convert to fraction form
    10,785.66/24,082.31 = 24,082.31/x
  3. Step 3: Cross multiply
    10,785.66x = 24,082.31 × 24,082.31
  4. Step 4: Simplify right side
    10,785.66x = 579,957,775.35
  5. Step 5: Solve for x
    x = 579,957,775.35/10,785.66
  6. Step 6: Final answer
    x = 53,771.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.