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Finding the Third Proportional to 932.71 and 2,011.13

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Solution

The third proportional to 932.71 and 2,011.13 is: 4,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.71 : 2,011.13 = 2,011.13 : x
  2. Step 2: Convert to fraction form
    932.71/2,011.13 = 2,011.13/x
  3. Step 3: Cross multiply
    932.71x = 2,011.13 × 2,011.13
  4. Step 4: Simplify right side
    932.71x = 4,044,647.33
  5. Step 5: Solve for x
    x = 4,044,647.33/932.71
  6. Step 6: Final answer
    x = 4,336.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.