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Finding the Third Proportional to 26,016.19 and 48,174.75

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Solution

The third proportional to 26,016.19 and 48,174.75 is: 89,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016.19 : 48,174.75 = 48,174.75 : x
  2. Step 2: Convert to fraction form
    26,016.19/48,174.75 = 48,174.75/x
  3. Step 3: Cross multiply
    26,016.19x = 48,174.75 × 48,174.75
  4. Step 4: Simplify right side
    26,016.19x = 2,320,806,537.56
  5. Step 5: Solve for x
    x = 2,320,806,537.56/26,016.19
  6. Step 6: Final answer
    x = 89,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.