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Finding the Third Proportional to 40,357.50 and 56,422.75

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Solution

The third proportional to 40,357.50 and 56,422.75 is: 78,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,357.50 : 56,422.75 = 56,422.75 : x
  2. Step 2: Convert to fraction form
    40,357.50/56,422.75 = 56,422.75/x
  3. Step 3: Cross multiply
    40,357.50x = 56,422.75 × 56,422.75
  4. Step 4: Simplify right side
    40,357.50x = 3,183,526,717.56
  5. Step 5: Solve for x
    x = 3,183,526,717.56/40,357.50
  6. Step 6: Final answer
    x = 78,883.15

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Why These Related Problems?

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