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Finding the Third Proportional to 1,924.28 and 2,882.14

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Solution

The third proportional to 1,924.28 and 2,882.14 is: 4,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.28 : 2,882.14 = 2,882.14 : x
  2. Step 2: Convert to fraction form
    1,924.28/2,882.14 = 2,882.14/x
  3. Step 3: Cross multiply
    1,924.28x = 2,882.14 × 2,882.14
  4. Step 4: Simplify right side
    1,924.28x = 8,306,757.10
  5. Step 5: Solve for x
    x = 8,306,757.10/1,924.28
  6. Step 6: Final answer
    x = 4,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.