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Finding the Third Proportional to 22,948.31 and 48,220.31

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Solution

The third proportional to 22,948.31 and 48,220.31 is: 101,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.31 : 48,220.31 = 48,220.31 : x
  2. Step 2: Convert to fraction form
    22,948.31/48,220.31 = 48,220.31/x
  3. Step 3: Cross multiply
    22,948.31x = 48,220.31 × 48,220.31
  4. Step 4: Simplify right side
    22,948.31x = 2,325,198,537.60
  5. Step 5: Solve for x
    x = 2,325,198,537.60/22,948.31
  6. Step 6: Final answer
    x = 101,323.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.