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Finding the Third Proportional to 51,565.36 and 68,446.27

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Solution

The third proportional to 51,565.36 and 68,446.27 is: 90,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,565.36 : 68,446.27 = 68,446.27 : x
  2. Step 2: Convert to fraction form
    51,565.36/68,446.27 = 68,446.27/x
  3. Step 3: Cross multiply
    51,565.36x = 68,446.27 × 68,446.27
  4. Step 4: Simplify right side
    51,565.36x = 4,684,891,278.01
  5. Step 5: Solve for x
    x = 4,684,891,278.01/51,565.36
  6. Step 6: Final answer
    x = 90,853.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.