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Finding the Third Proportional to 12,497 and 18,710

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Solution

The third proportional to 12,497 and 18,710 is: 28,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497 : 18,710 = 18,710 : x
  2. Step 2: Convert to fraction form
    12,497/18,710 = 18,710/x
  3. Step 3: Cross multiply
    12,497x = 18,710 × 18,710
  4. Step 4: Simplify right side
    12,497x = 350,064,100
  5. Step 5: Solve for x
    x = 350,064,100/12,497
  6. Step 6: Final answer
    x = 28,011.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.