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Finding the Third Proportional to 8,726.64 and 12,338.18

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Solution

The third proportional to 8,726.64 and 12,338.18 is: 17,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.64 : 12,338.18 = 12,338.18 : x
  2. Step 2: Convert to fraction form
    8,726.64/12,338.18 = 12,338.18/x
  3. Step 3: Cross multiply
    8,726.64x = 12,338.18 × 12,338.18
  4. Step 4: Simplify right side
    8,726.64x = 152,230,750.30
  5. Step 5: Solve for x
    x = 152,230,750.30/8,726.64
  6. Step 6: Final answer
    x = 17,444.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.