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Finding the Third Proportional to 17,561.25 and 41,454

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Solution

The third proportional to 17,561.25 and 41,454 is: 97,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.25 : 41,454 = 41,454 : x
  2. Step 2: Convert to fraction form
    17,561.25/41,454 = 41,454/x
  3. Step 3: Cross multiply
    17,561.25x = 41,454 × 41,454
  4. Step 4: Simplify right side
    17,561.25x = 1,718,434,116
  5. Step 5: Solve for x
    x = 1,718,434,116/17,561.25
  6. Step 6: Final answer
    x = 97,853.75

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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.