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Finding the Third Proportional to 21,901.78 and 47,135.53

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Solution

The third proportional to 21,901.78 and 47,135.53 is: 101,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.78 : 47,135.53 = 47,135.53 : x
  2. Step 2: Convert to fraction form
    21,901.78/47,135.53 = 47,135.53/x
  3. Step 3: Cross multiply
    21,901.78x = 47,135.53 × 47,135.53
  4. Step 4: Simplify right side
    21,901.78x = 2,221,758,306.22
  5. Step 5: Solve for x
    x = 2,221,758,306.22/21,901.78
  6. Step 6: Final answer
    x = 101,441.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.