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Finding the Third Proportional to 42,715.50 and 65,745

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Solution

The third proportional to 42,715.50 and 65,745 is: 101,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,715.50 : 65,745 = 65,745 : x
  2. Step 2: Convert to fraction form
    42,715.50/65,745 = 65,745/x
  3. Step 3: Cross multiply
    42,715.50x = 65,745 × 65,745
  4. Step 4: Simplify right side
    42,715.50x = 4,322,405,025
  5. Step 5: Solve for x
    x = 4,322,405,025/42,715.50
  6. Step 6: Final answer
    x = 101,190.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.