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Finding the Third Proportional to 12,256 and 26,587

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Solution

The third proportional to 12,256 and 26,587 is: 57,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 26,587 = 26,587 : x
  2. Step 2: Convert to fraction form
    12,256/26,587 = 26,587/x
  3. Step 3: Cross multiply
    12,256x = 26,587 × 26,587
  4. Step 4: Simplify right side
    12,256x = 706,868,569
  5. Step 5: Solve for x
    x = 706,868,569/12,256
  6. Step 6: Final answer
    x = 57,675.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.