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Finding the Third Proportional to 12,825 and 26,670

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Solution

The third proportional to 12,825 and 26,670 is: 55,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 26,670 = 26,670 : x
  2. Step 2: Convert to fraction form
    12,825/26,670 = 26,670/x
  3. Step 3: Cross multiply
    12,825x = 26,670 × 26,670
  4. Step 4: Simplify right side
    12,825x = 711,288,900
  5. Step 5: Solve for x
    x = 711,288,900/12,825
  6. Step 6: Final answer
    x = 55,461.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.