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Finding the Third Proportional to 26,426 and 38,691

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Solution

The third proportional to 26,426 and 38,691 is: 56,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,426 : 38,691 = 38,691 : x
  2. Step 2: Convert to fraction form
    26,426/38,691 = 38,691/x
  3. Step 3: Cross multiply
    26,426x = 38,691 × 38,691
  4. Step 4: Simplify right side
    26,426x = 1,496,993,481
  5. Step 5: Solve for x
    x = 1,496,993,481/26,426
  6. Step 6: Final answer
    x = 56,648.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.