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Finding the Third Proportional to 5,833.90 and 8,766.04

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Solution

The third proportional to 5,833.90 and 8,766.04 is: 13,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.90 : 8,766.04 = 8,766.04 : x
  2. Step 2: Convert to fraction form
    5,833.90/8,766.04 = 8,766.04/x
  3. Step 3: Cross multiply
    5,833.90x = 8,766.04 × 8,766.04
  4. Step 4: Simplify right side
    5,833.90x = 76,843,372.36
  5. Step 5: Solve for x
    x = 76,843,372.36/5,833.90
  6. Step 6: Final answer
    x = 13,171.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.