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Finding the Third Proportional to 22,109.38 and 33,976.88

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Solution

The third proportional to 22,109.38 and 33,976.88 is: 52,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.38 : 33,976.88 = 33,976.88 : x
  2. Step 2: Convert to fraction form
    22,109.38/33,976.88 = 33,976.88/x
  3. Step 3: Cross multiply
    22,109.38x = 33,976.88 × 33,976.88
  4. Step 4: Simplify right side
    22,109.38x = 1,154,428,034.77
  5. Step 5: Solve for x
    x = 1,154,428,034.77/22,109.38
  6. Step 6: Final answer
    x = 52,214.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.