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Finding the Third Proportional to 40,860 and 65,055

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Solution

The third proportional to 40,860 and 65,055 is: 103,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,860 : 65,055 = 65,055 : x
  2. Step 2: Convert to fraction form
    40,860/65,055 = 65,055/x
  3. Step 3: Cross multiply
    40,860x = 65,055 × 65,055
  4. Step 4: Simplify right side
    40,860x = 4,232,153,025
  5. Step 5: Solve for x
    x = 4,232,153,025/40,860
  6. Step 6: Final answer
    x = 103,576.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.