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Finding the Third Proportional to 18,217 and 42,986.50

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Solution

The third proportional to 18,217 and 42,986.50 is: 101,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,217 : 42,986.50 = 42,986.50 : x
  2. Step 2: Convert to fraction form
    18,217/42,986.50 = 42,986.50/x
  3. Step 3: Cross multiply
    18,217x = 42,986.50 × 42,986.50
  4. Step 4: Simplify right side
    18,217x = 1,847,839,182.25
  5. Step 5: Solve for x
    x = 1,847,839,182.25/18,217
  6. Step 6: Final answer
    x = 101,434.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.