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Finding the Third Proportional to 18,657.84 and 27,436.22

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Solution

The third proportional to 18,657.84 and 27,436.22 is: 40,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.84 : 27,436.22 = 27,436.22 : x
  2. Step 2: Convert to fraction form
    18,657.84/27,436.22 = 27,436.22/x
  3. Step 3: Cross multiply
    18,657.84x = 27,436.22 × 27,436.22
  4. Step 4: Simplify right side
    18,657.84x = 752,746,099.30
  5. Step 5: Solve for x
    x = 752,746,099.30/18,657.84
  6. Step 6: Final answer
    x = 40,344.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.