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Finding the Third Proportional to 12,708 and 13,700

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Solution

The third proportional to 12,708 and 13,700 is: 14,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708 : 13,700 = 13,700 : x
  2. Step 2: Convert to fraction form
    12,708/13,700 = 13,700/x
  3. Step 3: Cross multiply
    12,708x = 13,700 × 13,700
  4. Step 4: Simplify right side
    12,708x = 187,690,000
  5. Step 5: Solve for x
    x = 187,690,000/12,708
  6. Step 6: Final answer
    x = 14,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.