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Finding the Third Proportional to 1,614.52 and 3,487.22

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Solution

The third proportional to 1,614.52 and 3,487.22 is: 7,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.52 : 3,487.22 = 3,487.22 : x
  2. Step 2: Convert to fraction form
    1,614.52/3,487.22 = 3,487.22/x
  3. Step 3: Cross multiply
    1,614.52x = 3,487.22 × 3,487.22
  4. Step 4: Simplify right side
    1,614.52x = 12,160,694.61
  5. Step 5: Solve for x
    x = 12,160,694.61/1,614.52
  6. Step 6: Final answer
    x = 7,532.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.