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Finding the Third Proportional to 26,496 and 38,315.25

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Solution

The third proportional to 26,496 and 38,315.25 is: 55,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 38,315.25 = 38,315.25 : x
  2. Step 2: Convert to fraction form
    26,496/38,315.25 = 38,315.25/x
  3. Step 3: Cross multiply
    26,496x = 38,315.25 × 38,315.25
  4. Step 4: Simplify right side
    26,496x = 1,468,058,382.56
  5. Step 5: Solve for x
    x = 1,468,058,382.56/26,496
  6. Step 6: Final answer
    x = 55,406.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.