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Finding the Third Proportional to 22,148.44 and 47,572.31

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Solution

The third proportional to 22,148.44 and 47,572.31 is: 102,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.44 : 47,572.31 = 47,572.31 : x
  2. Step 2: Convert to fraction form
    22,148.44/47,572.31 = 47,572.31/x
  3. Step 3: Cross multiply
    22,148.44x = 47,572.31 × 47,572.31
  4. Step 4: Simplify right side
    22,148.44x = 2,263,124,916.60
  5. Step 5: Solve for x
    x = 2,263,124,916.60/22,148.44
  6. Step 6: Final answer
    x = 102,179.89

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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.