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Finding the Third Proportional to 5,842.13 and 8,197.45

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Solution

The third proportional to 5,842.13 and 8,197.45 is: 11,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.13 : 8,197.45 = 8,197.45 : x
  2. Step 2: Convert to fraction form
    5,842.13/8,197.45 = 8,197.45/x
  3. Step 3: Cross multiply
    5,842.13x = 8,197.45 × 8,197.45
  4. Step 4: Simplify right side
    5,842.13x = 67,198,237.74
  5. Step 5: Solve for x
    x = 67,198,237.74/5,842.13
  6. Step 6: Final answer
    x = 11,502.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.