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Finding the Third Proportional to 1,614.09 and 2,572.17

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Solution

The third proportional to 1,614.09 and 2,572.17 is: 4,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.09 : 2,572.17 = 2,572.17 : x
  2. Step 2: Convert to fraction form
    1,614.09/2,572.17 = 2,572.17/x
  3. Step 3: Cross multiply
    1,614.09x = 2,572.17 × 2,572.17
  4. Step 4: Simplify right side
    1,614.09x = 6,616,068.15
  5. Step 5: Solve for x
    x = 6,616,068.15/1,614.09
  6. Step 6: Final answer
    x = 4,098.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.