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Finding the Third Proportional to 5,934 and 11,017.50

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Solution

The third proportional to 5,934 and 11,017.50 is: 20,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934 : 11,017.50 = 11,017.50 : x
  2. Step 2: Convert to fraction form
    5,934/11,017.50 = 11,017.50/x
  3. Step 3: Cross multiply
    5,934x = 11,017.50 × 11,017.50
  4. Step 4: Simplify right side
    5,934x = 121,385,306.25
  5. Step 5: Solve for x
    x = 121,385,306.25/5,934
  6. Step 6: Final answer
    x = 20,455.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.