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Finding the Third Proportional to 22,091.25 and 33,597

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Solution

The third proportional to 22,091.25 and 33,597 is: 51,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,091.25 : 33,597 = 33,597 : x
  2. Step 2: Convert to fraction form
    22,091.25/33,597 = 33,597/x
  3. Step 3: Cross multiply
    22,091.25x = 33,597 × 33,597
  4. Step 4: Simplify right side
    22,091.25x = 1,128,758,409
  5. Step 5: Solve for x
    x = 1,128,758,409/22,091.25
  6. Step 6: Final answer
    x = 51,095.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.