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Finding the Third Proportional to 19,282.50 and 41,109.75

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Solution

The third proportional to 19,282.50 and 41,109.75 is: 87,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.50 : 41,109.75 = 41,109.75 : x
  2. Step 2: Convert to fraction form
    19,282.50/41,109.75 = 41,109.75/x
  3. Step 3: Cross multiply
    19,282.50x = 41,109.75 × 41,109.75
  4. Step 4: Simplify right side
    19,282.50x = 1,690,011,545.06
  5. Step 5: Solve for x
    x = 1,690,011,545.06/19,282.50
  6. Step 6: Final answer
    x = 87,644.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.