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Finding the Third Proportional to 5,854.78 and 8,999.54

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Solution

The third proportional to 5,854.78 and 8,999.54 is: 13,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.78 : 8,999.54 = 8,999.54 : x
  2. Step 2: Convert to fraction form
    5,854.78/8,999.54 = 8,999.54/x
  3. Step 3: Cross multiply
    5,854.78x = 8,999.54 × 8,999.54
  4. Step 4: Simplify right side
    5,854.78x = 80,991,773.65
  5. Step 5: Solve for x
    x = 80,991,773.65/5,854.78
  6. Step 6: Final answer
    x = 13,833.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.