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Finding the Third Proportional to 40,213.88 and 59,150.25

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Solution

The third proportional to 40,213.88 and 59,150.25 is: 87,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,213.88 : 59,150.25 = 59,150.25 : x
  2. Step 2: Convert to fraction form
    40,213.88/59,150.25 = 59,150.25/x
  3. Step 3: Cross multiply
    40,213.88x = 59,150.25 × 59,150.25
  4. Step 4: Simplify right side
    40,213.88x = 3,498,752,075.06
  5. Step 5: Solve for x
    x = 3,498,752,075.06/40,213.88
  6. Step 6: Final answer
    x = 87,003.60

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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.