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Finding the Third Proportional to 19,250 and 41,371

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Solution

The third proportional to 19,250 and 41,371 is: 88,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,250 : 41,371 = 41,371 : x
  2. Step 2: Convert to fraction form
    19,250/41,371 = 41,371/x
  3. Step 3: Cross multiply
    19,250x = 41,371 × 41,371
  4. Step 4: Simplify right side
    19,250x = 1,711,559,641
  5. Step 5: Solve for x
    x = 1,711,559,641/19,250
  6. Step 6: Final answer
    x = 88,912.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.