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Finding the Third Proportional to 1,726.88 and 3,729.66

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Solution

The third proportional to 1,726.88 and 3,729.66 is: 8,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.88 : 3,729.66 = 3,729.66 : x
  2. Step 2: Convert to fraction form
    1,726.88/3,729.66 = 3,729.66/x
  3. Step 3: Cross multiply
    1,726.88x = 3,729.66 × 3,729.66
  4. Step 4: Simplify right side
    1,726.88x = 13,910,335.74
  5. Step 5: Solve for x
    x = 13,910,335.74/1,726.88
  6. Step 6: Final answer
    x = 8,055.21

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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.