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Finding the Third Proportional to 40,295.25 and 70,836.75

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Solution

The third proportional to 40,295.25 and 70,836.75 is: 124,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,295.25 : 70,836.75 = 70,836.75 : x
  2. Step 2: Convert to fraction form
    40,295.25/70,836.75 = 70,836.75/x
  3. Step 3: Cross multiply
    40,295.25x = 70,836.75 × 70,836.75
  4. Step 4: Simplify right side
    40,295.25x = 5,017,845,150.56
  5. Step 5: Solve for x
    x = 5,017,845,150.56/40,295.25
  6. Step 6: Final answer
    x = 124,526.96

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.