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Finding the Third Proportional to 5,854.50 and 11,125.13

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Solution

The third proportional to 5,854.50 and 11,125.13 is: 21,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.50 : 11,125.13 = 11,125.13 : x
  2. Step 2: Convert to fraction form
    5,854.50/11,125.13 = 11,125.13/x
  3. Step 3: Cross multiply
    5,854.50x = 11,125.13 × 11,125.13
  4. Step 4: Simplify right side
    5,854.50x = 123,768,406.27
  5. Step 5: Solve for x
    x = 123,768,406.27/5,854.50
  6. Step 6: Final answer
    x = 21,140.73

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.