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Finding the Third Proportional to 925.25 and 2,024.50

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Solution

The third proportional to 925.25 and 2,024.50 is: 4,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.25 : 2,024.50 = 2,024.50 : x
  2. Step 2: Convert to fraction form
    925.25/2,024.50 = 2,024.50/x
  3. Step 3: Cross multiply
    925.25x = 2,024.50 × 2,024.50
  4. Step 4: Simplify right side
    925.25x = 4,098,600.25
  5. Step 5: Solve for x
    x = 4,098,600.25/925.25
  6. Step 6: Final answer
    x = 4,429.72

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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.