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Finding the Third Proportional to 5,330.81 and 11,242.55

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Solution

The third proportional to 5,330.81 and 11,242.55 is: 23,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.81 : 11,242.55 = 11,242.55 : x
  2. Step 2: Convert to fraction form
    5,330.81/11,242.55 = 11,242.55/x
  3. Step 3: Cross multiply
    5,330.81x = 11,242.55 × 11,242.55
  4. Step 4: Simplify right side
    5,330.81x = 126,394,860.24
  5. Step 5: Solve for x
    x = 126,394,860.24/5,330.81
  6. Step 6: Final answer
    x = 23,710.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.