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Finding the Third Proportional to 18,154.88 and 37,972.50

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Solution

The third proportional to 18,154.88 and 37,972.50 is: 79,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,154.88 : 37,972.50 = 37,972.50 : x
  2. Step 2: Convert to fraction form
    18,154.88/37,972.50 = 37,972.50/x
  3. Step 3: Cross multiply
    18,154.88x = 37,972.50 × 37,972.50
  4. Step 4: Simplify right side
    18,154.88x = 1,441,910,756.25
  5. Step 5: Solve for x
    x = 1,441,910,756.25/18,154.88
  6. Step 6: Final answer
    x = 79,422.79

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.