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Finding the Third Proportional to 8,466.89 and 12,577.78

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Solution

The third proportional to 8,466.89 and 12,577.78 is: 18,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.89 : 12,577.78 = 12,577.78 : x
  2. Step 2: Convert to fraction form
    8,466.89/12,577.78 = 12,577.78/x
  3. Step 3: Cross multiply
    8,466.89x = 12,577.78 × 12,577.78
  4. Step 4: Simplify right side
    8,466.89x = 158,200,581.17
  5. Step 5: Solve for x
    x = 158,200,581.17/8,466.89
  6. Step 6: Final answer
    x = 18,684.61

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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.