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Finding the Third Proportional to 1,172.25 and 2,545.88

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Solution

The third proportional to 1,172.25 and 2,545.88 is: 5,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.25 : 2,545.88 = 2,545.88 : x
  2. Step 2: Convert to fraction form
    1,172.25/2,545.88 = 2,545.88/x
  3. Step 3: Cross multiply
    1,172.25x = 2,545.88 × 2,545.88
  4. Step 4: Simplify right side
    1,172.25x = 6,481,479.52
  5. Step 5: Solve for x
    x = 6,481,479.52/1,172.25
  6. Step 6: Final answer
    x = 5,529.09

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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.