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Finding the Third Proportional to 35,974.13 and 54,452.25

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Solution

The third proportional to 35,974.13 and 54,452.25 is: 82,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974.13 : 54,452.25 = 54,452.25 : x
  2. Step 2: Convert to fraction form
    35,974.13/54,452.25 = 54,452.25/x
  3. Step 3: Cross multiply
    35,974.13x = 54,452.25 × 54,452.25
  4. Step 4: Simplify right side
    35,974.13x = 2,965,047,530.06
  5. Step 5: Solve for x
    x = 2,965,047,530.06/35,974.13
  6. Step 6: Final answer
    x = 82,421.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.