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Finding the Third Proportional to 39,992 and 59,768

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Solution

The third proportional to 39,992 and 59,768 is: 89,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,992 : 59,768 = 59,768 : x
  2. Step 2: Convert to fraction form
    39,992/59,768 = 59,768/x
  3. Step 3: Cross multiply
    39,992x = 59,768 × 59,768
  4. Step 4: Simplify right side
    39,992x = 3,572,213,824
  5. Step 5: Solve for x
    x = 3,572,213,824/39,992
  6. Step 6: Final answer
    x = 89,323.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.