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Finding the Third Proportional to 19,787.20 and 41,624.72

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Solution

The third proportional to 19,787.20 and 41,624.72 is: 87,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.20 : 41,624.72 = 41,624.72 : x
  2. Step 2: Convert to fraction form
    19,787.20/41,624.72 = 41,624.72/x
  3. Step 3: Cross multiply
    19,787.20x = 41,624.72 × 41,624.72
  4. Step 4: Simplify right side
    19,787.20x = 1,732,617,211.02
  5. Step 5: Solve for x
    x = 1,732,617,211.02/19,787.20
  6. Step 6: Final answer
    x = 87,562.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.