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Finding the Third Proportional to 7,868.39 and 12,201.47

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Solution

The third proportional to 7,868.39 and 12,201.47 is: 18,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.39 : 12,201.47 = 12,201.47 : x
  2. Step 2: Convert to fraction form
    7,868.39/12,201.47 = 12,201.47/x
  3. Step 3: Cross multiply
    7,868.39x = 12,201.47 × 12,201.47
  4. Step 4: Simplify right side
    7,868.39x = 148,875,839.66
  5. Step 5: Solve for x
    x = 148,875,839.66/7,868.39
  6. Step 6: Final answer
    x = 18,920.75

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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.