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Finding the Third Proportional to 22,159.13 and 33,255

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Solution

The third proportional to 22,159.13 and 33,255 is: 49,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.13 : 33,255 = 33,255 : x
  2. Step 2: Convert to fraction form
    22,159.13/33,255 = 33,255/x
  3. Step 3: Cross multiply
    22,159.13x = 33,255 × 33,255
  4. Step 4: Simplify right side
    22,159.13x = 1,105,895,025
  5. Step 5: Solve for x
    x = 1,105,895,025/22,159.13
  6. Step 6: Final answer
    x = 49,906.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.