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Finding the Third Proportional to 29,490.75 and 41,234.75

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Solution

The third proportional to 29,490.75 and 41,234.75 is: 57,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490.75 : 41,234.75 = 41,234.75 : x
  2. Step 2: Convert to fraction form
    29,490.75/41,234.75 = 41,234.75/x
  3. Step 3: Cross multiply
    29,490.75x = 41,234.75 × 41,234.75
  4. Step 4: Simplify right side
    29,490.75x = 1,700,304,607.56
  5. Step 5: Solve for x
    x = 1,700,304,607.56/29,490.75
  6. Step 6: Final answer
    x = 57,655.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.