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Finding the Third Proportional to 8,077.78 and 12,068.16

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Solution

The third proportional to 8,077.78 and 12,068.16 is: 18,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.78 : 12,068.16 = 12,068.16 : x
  2. Step 2: Convert to fraction form
    8,077.78/12,068.16 = 12,068.16/x
  3. Step 3: Cross multiply
    8,077.78x = 12,068.16 × 12,068.16
  4. Step 4: Simplify right side
    8,077.78x = 145,640,395.27
  5. Step 5: Solve for x
    x = 145,640,395.27/8,077.78
  6. Step 6: Final answer
    x = 18,029.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.