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Finding the Third Proportional to 26,515.50 and 38,345.25

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Solution

The third proportional to 26,515.50 and 38,345.25 is: 55,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,515.50 : 38,345.25 = 38,345.25 : x
  2. Step 2: Convert to fraction form
    26,515.50/38,345.25 = 38,345.25/x
  3. Step 3: Cross multiply
    26,515.50x = 38,345.25 × 38,345.25
  4. Step 4: Simplify right side
    26,515.50x = 1,470,358,197.56
  5. Step 5: Solve for x
    x = 1,470,358,197.56/26,515.50
  6. Step 6: Final answer
    x = 55,452.78

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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.