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Finding the Third Proportional to 12,309 and 26,922

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Solution

The third proportional to 12,309 and 26,922 is: 58,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309 : 26,922 = 26,922 : x
  2. Step 2: Convert to fraction form
    12,309/26,922 = 26,922/x
  3. Step 3: Cross multiply
    12,309x = 26,922 × 26,922
  4. Step 4: Simplify right side
    12,309x = 724,794,084
  5. Step 5: Solve for x
    x = 724,794,084/12,309
  6. Step 6: Final answer
    x = 58,883.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.