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Finding the Third Proportional to 10,419 and 15,195

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Solution

The third proportional to 10,419 and 15,195 is: 22,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419 : 15,195 = 15,195 : x
  2. Step 2: Convert to fraction form
    10,419/15,195 = 15,195/x
  3. Step 3: Cross multiply
    10,419x = 15,195 × 15,195
  4. Step 4: Simplify right side
    10,419x = 230,888,025
  5. Step 5: Solve for x
    x = 230,888,025/10,419
  6. Step 6: Final answer
    x = 22,160.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.