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Finding the Third Proportional to 8,721.84 and 13,480.59

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Solution

The third proportional to 8,721.84 and 13,480.59 is: 20,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.84 : 13,480.59 = 13,480.59 : x
  2. Step 2: Convert to fraction form
    8,721.84/13,480.59 = 13,480.59/x
  3. Step 3: Cross multiply
    8,721.84x = 13,480.59 × 13,480.59
  4. Step 4: Simplify right side
    8,721.84x = 181,726,407.85
  5. Step 5: Solve for x
    x = 181,726,407.85/8,721.84
  6. Step 6: Final answer
    x = 20,835.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.