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Finding the Third Proportional to 962.25 and 1,324.88

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Solution

The third proportional to 962.25 and 1,324.88 is: 1,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,324.88 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    962.25/1,324.88 = 1,324.88/x
  3. Step 3: Cross multiply
    962.25x = 1,324.88 × 1,324.88
  4. Step 4: Simplify right side
    962.25x = 1,755,293.77
  5. Step 5: Solve for x
    x = 1,755,293.77/962.25
  6. Step 6: Final answer
    x = 1,824.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.