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Finding the Third Proportional to 13,599.69 and 21,017.19

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Solution

The third proportional to 13,599.69 and 21,017.19 is: 32,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.69 : 21,017.19 = 21,017.19 : x
  2. Step 2: Convert to fraction form
    13,599.69/21,017.19 = 21,017.19/x
  3. Step 3: Cross multiply
    13,599.69x = 21,017.19 × 21,017.19
  4. Step 4: Simplify right side
    13,599.69x = 441,722,170.41
  5. Step 5: Solve for x
    x = 441,722,170.41/13,599.69
  6. Step 6: Final answer
    x = 32,480.32

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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.