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Finding the Third Proportional to 7,839.50 and 12,143.50

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Solution

The third proportional to 7,839.50 and 12,143.50 is: 18,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.50 : 12,143.50 = 12,143.50 : x
  2. Step 2: Convert to fraction form
    7,839.50/12,143.50 = 12,143.50/x
  3. Step 3: Cross multiply
    7,839.50x = 12,143.50 × 12,143.50
  4. Step 4: Simplify right side
    7,839.50x = 147,464,592.25
  5. Step 5: Solve for x
    x = 147,464,592.25/7,839.50
  6. Step 6: Final answer
    x = 18,810.46

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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.