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Finding the Third Proportional to 18,244.13 and 27,734.25

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Solution

The third proportional to 18,244.13 and 27,734.25 is: 42,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,244.13 : 27,734.25 = 27,734.25 : x
  2. Step 2: Convert to fraction form
    18,244.13/27,734.25 = 27,734.25/x
  3. Step 3: Cross multiply
    18,244.13x = 27,734.25 × 27,734.25
  4. Step 4: Simplify right side
    18,244.13x = 769,188,623.06
  5. Step 5: Solve for x
    x = 769,188,623.06/18,244.13
  6. Step 6: Final answer
    x = 42,160.89

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1.5x scale

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.