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Finding the Third Proportional to 23,046.75 and 34,422.75

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Solution

The third proportional to 23,046.75 and 34,422.75 is: 51,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.75 : 34,422.75 = 34,422.75 : x
  2. Step 2: Convert to fraction form
    23,046.75/34,422.75 = 34,422.75/x
  3. Step 3: Cross multiply
    23,046.75x = 34,422.75 × 34,422.75
  4. Step 4: Simplify right side
    23,046.75x = 1,184,925,717.56
  5. Step 5: Solve for x
    x = 1,184,925,717.56/23,046.75
  6. Step 6: Final answer
    x = 51,414.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.