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Finding the Third Proportional to 12,463 and 19,817

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Solution

The third proportional to 12,463 and 19,817 is: 31,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463 : 19,817 = 19,817 : x
  2. Step 2: Convert to fraction form
    12,463/19,817 = 19,817/x
  3. Step 3: Cross multiply
    12,463x = 19,817 × 19,817
  4. Step 4: Simplify right side
    12,463x = 392,713,489
  5. Step 5: Solve for x
    x = 392,713,489/12,463
  6. Step 6: Final answer
    x = 31,510.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.