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Finding the Third Proportional to 26,120.25 and 38,085.75

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Solution

The third proportional to 26,120.25 and 38,085.75 is: 55,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,120.25 : 38,085.75 = 38,085.75 : x
  2. Step 2: Convert to fraction form
    26,120.25/38,085.75 = 38,085.75/x
  3. Step 3: Cross multiply
    26,120.25x = 38,085.75 × 38,085.75
  4. Step 4: Simplify right side
    26,120.25x = 1,450,524,353.06
  5. Step 5: Solve for x
    x = 1,450,524,353.06/26,120.25
  6. Step 6: Final answer
    x = 55,532.56

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1.5x scale

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.