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Finding the Third Proportional to 10,206 and 15,463

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Solution

The third proportional to 10,206 and 15,463 is: 23,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,463 = 15,463 : x
  2. Step 2: Convert to fraction form
    10,206/15,463 = 15,463/x
  3. Step 3: Cross multiply
    10,206x = 15,463 × 15,463
  4. Step 4: Simplify right side
    10,206x = 239,104,369
  5. Step 5: Solve for x
    x = 239,104,369/10,206
  6. Step 6: Final answer
    x = 23,427.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.