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Finding the Third Proportional to 10,388.53 and 22,134.66

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Solution

The third proportional to 10,388.53 and 22,134.66 is: 47,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.53 : 22,134.66 = 22,134.66 : x
  2. Step 2: Convert to fraction form
    10,388.53/22,134.66 = 22,134.66/x
  3. Step 3: Cross multiply
    10,388.53x = 22,134.66 × 22,134.66
  4. Step 4: Simplify right side
    10,388.53x = 489,943,007.31
  5. Step 5: Solve for x
    x = 489,943,007.31/10,388.53
  6. Step 6: Final answer
    x = 47,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.