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Finding the Third Proportional to 8,497 and 12,701

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Solution

The third proportional to 8,497 and 12,701 is: 18,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 12,701 = 12,701 : x
  2. Step 2: Convert to fraction form
    8,497/12,701 = 12,701/x
  3. Step 3: Cross multiply
    8,497x = 12,701 × 12,701
  4. Step 4: Simplify right side
    8,497x = 161,315,401
  5. Step 5: Solve for x
    x = 161,315,401/8,497
  6. Step 6: Final answer
    x = 18,984.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.