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Finding the Third Proportional to 18,489 and 41,140.50

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Solution

The third proportional to 18,489 and 41,140.50 is: 91,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489 : 41,140.50 = 41,140.50 : x
  2. Step 2: Convert to fraction form
    18,489/41,140.50 = 41,140.50/x
  3. Step 3: Cross multiply
    18,489x = 41,140.50 × 41,140.50
  4. Step 4: Simplify right side
    18,489x = 1,692,540,740.25
  5. Step 5: Solve for x
    x = 1,692,540,740.25/18,489
  6. Step 6: Final answer
    x = 91,543.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.