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Finding the Third Proportional to 925.80 and 2,006.02

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Solution

The third proportional to 925.80 and 2,006.02 is: 4,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.80 : 2,006.02 = 2,006.02 : x
  2. Step 2: Convert to fraction form
    925.80/2,006.02 = 2,006.02/x
  3. Step 3: Cross multiply
    925.80x = 2,006.02 × 2,006.02
  4. Step 4: Simplify right side
    925.80x = 4,024,098.69
  5. Step 5: Solve for x
    x = 4,024,098.69/925.80
  6. Step 6: Final answer
    x = 4,346.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.