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Finding the Third Proportional to 40,205.25 and 59,145.75

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Solution

The third proportional to 40,205.25 and 59,145.75 is: 87,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,205.25 : 59,145.75 = 59,145.75 : x
  2. Step 2: Convert to fraction form
    40,205.25/59,145.75 = 59,145.75/x
  3. Step 3: Cross multiply
    40,205.25x = 59,145.75 × 59,145.75
  4. Step 4: Simplify right side
    40,205.25x = 3,498,219,743.06
  5. Step 5: Solve for x
    x = 3,498,219,743.06/40,205.25
  6. Step 6: Final answer
    x = 87,009.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.