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Finding the Third Proportional to 22,135.78 and 47,552.06

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Solution

The third proportional to 22,135.78 and 47,552.06 is: 102,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.78 : 47,552.06 = 47,552.06 : x
  2. Step 2: Convert to fraction form
    22,135.78/47,552.06 = 47,552.06/x
  3. Step 3: Cross multiply
    22,135.78x = 47,552.06 × 47,552.06
  4. Step 4: Simplify right side
    22,135.78x = 2,261,198,648.00
  5. Step 5: Solve for x
    x = 2,261,198,648.00/22,135.78
  6. Step 6: Final answer
    x = 102,151.29

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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.