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Finding the Third Proportional to 39,002 and 58,768

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Solution

The third proportional to 39,002 and 58,768 is: 88,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,002 : 58,768 = 58,768 : x
  2. Step 2: Convert to fraction form
    39,002/58,768 = 58,768/x
  3. Step 3: Cross multiply
    39,002x = 58,768 × 58,768
  4. Step 4: Simplify right side
    39,002x = 3,453,677,824
  5. Step 5: Solve for x
    x = 3,453,677,824/39,002
  6. Step 6: Final answer
    x = 88,551.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.