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Finding the Third Proportional to 42,768.25 and 61,605.75

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Solution

The third proportional to 42,768.25 and 61,605.75 is: 88,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768.25 : 61,605.75 = 61,605.75 : x
  2. Step 2: Convert to fraction form
    42,768.25/61,605.75 = 61,605.75/x
  3. Step 3: Cross multiply
    42,768.25x = 61,605.75 × 61,605.75
  4. Step 4: Simplify right side
    42,768.25x = 3,795,268,433.06
  5. Step 5: Solve for x
    x = 3,795,268,433.06/42,768.25
  6. Step 6: Final answer
    x = 88,740.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.