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Finding the Third Proportional to 22,138.31 and 47,775.94

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Solution

The third proportional to 22,138.31 and 47,775.94 is: 103,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.31 : 47,775.94 = 47,775.94 : x
  2. Step 2: Convert to fraction form
    22,138.31/47,775.94 = 47,775.94/x
  3. Step 3: Cross multiply
    22,138.31x = 47,775.94 × 47,775.94
  4. Step 4: Simplify right side
    22,138.31x = 2,282,540,204.00
  5. Step 5: Solve for x
    x = 2,282,540,204.00/22,138.31
  6. Step 6: Final answer
    x = 103,103.62

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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.