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Finding the Third Proportional to 11,170.41 and 23,259.66

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Solution

The third proportional to 11,170.41 and 23,259.66 is: 48,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.41 : 23,259.66 = 23,259.66 : x
  2. Step 2: Convert to fraction form
    11,170.41/23,259.66 = 23,259.66/x
  3. Step 3: Cross multiply
    11,170.41x = 23,259.66 × 23,259.66
  4. Step 4: Simplify right side
    11,170.41x = 541,011,608.87
  5. Step 5: Solve for x
    x = 541,011,608.87/11,170.41
  6. Step 6: Final answer
    x = 48,432.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.