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Finding the Third Proportional to 19,019 and 41,353

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Solution

The third proportional to 19,019 and 41,353 is: 89,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019 : 41,353 = 41,353 : x
  2. Step 2: Convert to fraction form
    19,019/41,353 = 41,353/x
  3. Step 3: Cross multiply
    19,019x = 41,353 × 41,353
  4. Step 4: Simplify right side
    19,019x = 1,710,070,609
  5. Step 5: Solve for x
    x = 1,710,070,609/19,019
  6. Step 6: Final answer
    x = 89,913.80

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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.