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Finding the Third Proportional to 18,598.13 and 27,937.50

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Solution

The third proportional to 18,598.13 and 27,937.50 is: 41,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.13 : 27,937.50 = 27,937.50 : x
  2. Step 2: Convert to fraction form
    18,598.13/27,937.50 = 27,937.50/x
  3. Step 3: Cross multiply
    18,598.13x = 27,937.50 × 27,937.50
  4. Step 4: Simplify right side
    18,598.13x = 780,503,906.25
  5. Step 5: Solve for x
    x = 780,503,906.25/18,598.13
  6. Step 6: Final answer
    x = 41,966.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.