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Finding the Third Proportional to 19,244.25 and 41,775.75

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Solution

The third proportional to 19,244.25 and 41,775.75 is: 90,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244.25 : 41,775.75 = 41,775.75 : x
  2. Step 2: Convert to fraction form
    19,244.25/41,775.75 = 41,775.75/x
  3. Step 3: Cross multiply
    19,244.25x = 41,775.75 × 41,775.75
  4. Step 4: Simplify right side
    19,244.25x = 1,745,213,288.06
  5. Step 5: Solve for x
    x = 1,745,213,288.06/19,244.25
  6. Step 6: Final answer
    x = 90,687.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.