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Finding the Third Proportional to 42,375.66 and 65,653.03

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Solution

The third proportional to 42,375.66 and 65,653.03 is: 101,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,375.66 : 65,653.03 = 65,653.03 : x
  2. Step 2: Convert to fraction form
    42,375.66/65,653.03 = 65,653.03/x
  3. Step 3: Cross multiply
    42,375.66x = 65,653.03 × 65,653.03
  4. Step 4: Simplify right side
    42,375.66x = 4,310,320,512.31
  5. Step 5: Solve for x
    x = 4,310,320,512.31/42,375.66
  6. Step 6: Final answer
    x = 101,716.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.