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Finding the Third Proportional to 1,585.50 and 2,439

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Solution

The third proportional to 1,585.50 and 2,439 is: 3,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.50 : 2,439 = 2,439 : x
  2. Step 2: Convert to fraction form
    1,585.50/2,439 = 2,439/x
  3. Step 3: Cross multiply
    1,585.50x = 2,439 × 2,439
  4. Step 4: Simplify right side
    1,585.50x = 5,948,721
  5. Step 5: Solve for x
    x = 5,948,721/1,585.50
  6. Step 6: Final answer
    x = 3,751.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.