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Finding the Third Proportional to 903.66 and 932.13

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Solution

The third proportional to 903.66 and 932.13 is: 961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.66 : 932.13 = 932.13 : x
  2. Step 2: Convert to fraction form
    903.66/932.13 = 932.13/x
  3. Step 3: Cross multiply
    903.66x = 932.13 × 932.13
  4. Step 4: Simplify right side
    903.66x = 868,871.58
  5. Step 5: Solve for x
    x = 868,871.58/903.66
  6. Step 6: Final answer
    x = 961.51

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.