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Finding the Third Proportional to 29,788.69 and 46,082.44

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Solution

The third proportional to 29,788.69 and 46,082.44 is: 71,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,788.69 : 46,082.44 = 46,082.44 : x
  2. Step 2: Convert to fraction form
    29,788.69/46,082.44 = 46,082.44/x
  3. Step 3: Cross multiply
    29,788.69x = 46,082.44 × 46,082.44
  4. Step 4: Simplify right side
    29,788.69x = 2,123,591,045.94
  5. Step 5: Solve for x
    x = 2,123,591,045.94/29,788.69
  6. Step 6: Final answer
    x = 71,288.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.