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Finding the Third Proportional to 5,220.75 and 11,182.88

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Solution

The third proportional to 5,220.75 and 11,182.88 is: 23,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.75 : 11,182.88 = 11,182.88 : x
  2. Step 2: Convert to fraction form
    5,220.75/11,182.88 = 11,182.88/x
  3. Step 3: Cross multiply
    5,220.75x = 11,182.88 × 11,182.88
  4. Step 4: Simplify right side
    5,220.75x = 125,056,693.27
  5. Step 5: Solve for x
    x = 125,056,693.27/5,220.75
  6. Step 6: Final answer
    x = 23,953.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.