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Finding the Third Proportional to 12,326 and 26,902

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Solution

The third proportional to 12,326 and 26,902 is: 58,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326 : 26,902 = 26,902 : x
  2. Step 2: Convert to fraction form
    12,326/26,902 = 26,902/x
  3. Step 3: Cross multiply
    12,326x = 26,902 × 26,902
  4. Step 4: Simplify right side
    12,326x = 723,717,604
  5. Step 5: Solve for x
    x = 723,717,604/12,326
  6. Step 6: Final answer
    x = 58,714.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.