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Finding the Third Proportional to 18,412 and 40,988

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Solution

The third proportional to 18,412 and 40,988 is: 91,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412 : 40,988 = 40,988 : x
  2. Step 2: Convert to fraction form
    18,412/40,988 = 40,988/x
  3. Step 3: Cross multiply
    18,412x = 40,988 × 40,988
  4. Step 4: Simplify right side
    18,412x = 1,680,016,144
  5. Step 5: Solve for x
    x = 1,680,016,144/18,412
  6. Step 6: Final answer
    x = 91,245.72

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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.