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Finding the Third Proportional to 19,015 and 41,309

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Solution

The third proportional to 19,015 and 41,309 is: 89,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,015 : 41,309 = 41,309 : x
  2. Step 2: Convert to fraction form
    19,015/41,309 = 41,309/x
  3. Step 3: Cross multiply
    19,015x = 41,309 × 41,309
  4. Step 4: Simplify right side
    19,015x = 1,706,433,481
  5. Step 5: Solve for x
    x = 1,706,433,481/19,015
  6. Step 6: Final answer
    x = 89,741.44

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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.