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Finding the Third Proportional to 18,864 and 27,627.50

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Solution

The third proportional to 18,864 and 27,627.50 is: 40,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864 : 27,627.50 = 27,627.50 : x
  2. Step 2: Convert to fraction form
    18,864/27,627.50 = 27,627.50/x
  3. Step 3: Cross multiply
    18,864x = 27,627.50 × 27,627.50
  4. Step 4: Simplify right side
    18,864x = 763,278,756.25
  5. Step 5: Solve for x
    x = 763,278,756.25/18,864
  6. Step 6: Final answer
    x = 40,462.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.