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Finding the Third Proportional to 22,180.50 and 47,877.75

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Solution

The third proportional to 22,180.50 and 47,877.75 is: 103,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,180.50 : 47,877.75 = 47,877.75 : x
  2. Step 2: Convert to fraction form
    22,180.50/47,877.75 = 47,877.75/x
  3. Step 3: Cross multiply
    22,180.50x = 47,877.75 × 47,877.75
  4. Step 4: Simplify right side
    22,180.50x = 2,292,278,945.06
  5. Step 5: Solve for x
    x = 2,292,278,945.06/22,180.50
  6. Step 6: Final answer
    x = 103,346.59

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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.