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Finding the Third Proportional to 11,177.50 and 24,170

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Solution

The third proportional to 11,177.50 and 24,170 is: 52,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.50 : 24,170 = 24,170 : x
  2. Step 2: Convert to fraction form
    11,177.50/24,170 = 24,170/x
  3. Step 3: Cross multiply
    11,177.50x = 24,170 × 24,170
  4. Step 4: Simplify right side
    11,177.50x = 584,188,900
  5. Step 5: Solve for x
    x = 584,188,900/11,177.50
  6. Step 6: Final answer
    x = 52,264.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.