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Finding the Third Proportional to 12,149 and 26,569

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Solution

The third proportional to 12,149 and 26,569 is: 58,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149 : 26,569 = 26,569 : x
  2. Step 2: Convert to fraction form
    12,149/26,569 = 26,569/x
  3. Step 3: Cross multiply
    12,149x = 26,569 × 26,569
  4. Step 4: Simplify right side
    12,149x = 705,911,761
  5. Step 5: Solve for x
    x = 705,911,761/12,149
  6. Step 6: Final answer
    x = 58,104.52

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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.