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Finding the Third Proportional to 27,748.13 and 45,082.44

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Solution

The third proportional to 27,748.13 and 45,082.44 is: 73,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748.13 : 45,082.44 = 45,082.44 : x
  2. Step 2: Convert to fraction form
    27,748.13/45,082.44 = 45,082.44/x
  3. Step 3: Cross multiply
    27,748.13x = 45,082.44 × 45,082.44
  4. Step 4: Simplify right side
    27,748.13x = 2,032,426,170.94
  5. Step 5: Solve for x
    x = 2,032,426,170.94/27,748.13
  6. Step 6: Final answer
    x = 73,245.53

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.