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Finding the Third Proportional to 29,758.13 and 46,115.44

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Solution

The third proportional to 29,758.13 and 46,115.44 is: 71,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.13 : 46,115.44 = 46,115.44 : x
  2. Step 2: Convert to fraction form
    29,758.13/46,115.44 = 46,115.44/x
  3. Step 3: Cross multiply
    29,758.13x = 46,115.44 × 46,115.44
  4. Step 4: Simplify right side
    29,758.13x = 2,126,633,575.82
  5. Step 5: Solve for x
    x = 2,126,633,575.82/29,758.13
  6. Step 6: Final answer
    x = 71,463.96

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