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Finding the Third Proportional to 38,715 and 82,082.25

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Solution

The third proportional to 38,715 and 82,082.25 is: 174,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715 : 82,082.25 = 82,082.25 : x
  2. Step 2: Convert to fraction form
    38,715/82,082.25 = 82,082.25/x
  3. Step 3: Cross multiply
    38,715x = 82,082.25 × 82,082.25
  4. Step 4: Simplify right side
    38,715x = 6,737,495,765.06
  5. Step 5: Solve for x
    x = 6,737,495,765.06/38,715
  6. Step 6: Final answer
    x = 174,028.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.