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Finding the Third Proportional to 1,932.38 and 4,156.13

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Solution

The third proportional to 1,932.38 and 4,156.13 is: 8,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.38 : 4,156.13 = 4,156.13 : x
  2. Step 2: Convert to fraction form
    1,932.38/4,156.13 = 4,156.13/x
  3. Step 3: Cross multiply
    1,932.38x = 4,156.13 × 4,156.13
  4. Step 4: Simplify right side
    1,932.38x = 17,273,375.02
  5. Step 5: Solve for x
    x = 17,273,375.02/1,932.38
  6. Step 6: Final answer
    x = 8,938.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.