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Finding the Third Proportional to 5,354.91 and 8,000.86

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Solution

The third proportional to 5,354.91 and 8,000.86 is: 11,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.91 : 8,000.86 = 8,000.86 : x
  2. Step 2: Convert to fraction form
    5,354.91/8,000.86 = 8,000.86/x
  3. Step 3: Cross multiply
    5,354.91x = 8,000.86 × 8,000.86
  4. Step 4: Simplify right side
    5,354.91x = 64,013,750.74
  5. Step 5: Solve for x
    x = 64,013,750.74/5,354.91
  6. Step 6: Final answer
    x = 11,954.22

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Why These Related Problems?

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