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Finding the Third Proportional to 5,267.53 and 8,851.78

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Solution

The third proportional to 5,267.53 and 8,851.78 is: 14,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.53 : 8,851.78 = 8,851.78 : x
  2. Step 2: Convert to fraction form
    5,267.53/8,851.78 = 8,851.78/x
  3. Step 3: Cross multiply
    5,267.53x = 8,851.78 × 8,851.78
  4. Step 4: Simplify right side
    5,267.53x = 78,354,031.30
  5. Step 5: Solve for x
    x = 78,354,031.30/5,267.53
  6. Step 6: Final answer
    x = 14,874.91

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.