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Finding the Third Proportional to 1,227.66 and 1,725.47

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Solution

The third proportional to 1,227.66 and 1,725.47 is: 2,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.66 : 1,725.47 = 1,725.47 : x
  2. Step 2: Convert to fraction form
    1,227.66/1,725.47 = 1,725.47/x
  3. Step 3: Cross multiply
    1,227.66x = 1,725.47 × 1,725.47
  4. Step 4: Simplify right side
    1,227.66x = 2,977,242.41
  5. Step 5: Solve for x
    x = 2,977,242.41/1,227.66
  6. Step 6: Final answer
    x = 2,425.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.