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Finding the Third Proportional to 4,132.66 and 9,726.17

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Solution

The third proportional to 4,132.66 and 9,726.17 is: 22,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.66 : 9,726.17 = 9,726.17 : x
  2. Step 2: Convert to fraction form
    4,132.66/9,726.17 = 9,726.17/x
  3. Step 3: Cross multiply
    4,132.66x = 9,726.17 × 9,726.17
  4. Step 4: Simplify right side
    4,132.66x = 94,598,381.35
  5. Step 5: Solve for x
    x = 94,598,381.35/4,132.66
  6. Step 6: Final answer
    x = 22,890.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.