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Finding the Third Proportional to 8,068.50 and 12,468.38

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Solution

The third proportional to 8,068.50 and 12,468.38 is: 19,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.50 : 12,468.38 = 12,468.38 : x
  2. Step 2: Convert to fraction form
    8,068.50/12,468.38 = 12,468.38/x
  3. Step 3: Cross multiply
    8,068.50x = 12,468.38 × 12,468.38
  4. Step 4: Simplify right side
    8,068.50x = 155,460,375.14
  5. Step 5: Solve for x
    x = 155,460,375.14/8,068.50
  6. Step 6: Final answer
    x = 19,267.57

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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.