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Finding the Third Proportional to 12,842 and 26,530

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Solution

The third proportional to 12,842 and 26,530 is: 54,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842 : 26,530 = 26,530 : x
  2. Step 2: Convert to fraction form
    12,842/26,530 = 26,530/x
  3. Step 3: Cross multiply
    12,842x = 26,530 × 26,530
  4. Step 4: Simplify right side
    12,842x = 703,840,900
  5. Step 5: Solve for x
    x = 703,840,900/12,842
  6. Step 6: Final answer
    x = 54,807.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.