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Finding the Third Proportional to 42,219.25 and 65,885

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Solution

The third proportional to 42,219.25 and 65,885 is: 102,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219.25 : 65,885 = 65,885 : x
  2. Step 2: Convert to fraction form
    42,219.25/65,885 = 65,885/x
  3. Step 3: Cross multiply
    42,219.25x = 65,885 × 65,885
  4. Step 4: Simplify right side
    42,219.25x = 4,340,833,225
  5. Step 5: Solve for x
    x = 4,340,833,225/42,219.25
  6. Step 6: Final answer
    x = 102,816.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.