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Finding the Third Proportional to 39,783 and 55,768

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Solution

The third proportional to 39,783 and 55,768 is: 78,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783 : 55,768 = 55,768 : x
  2. Step 2: Convert to fraction form
    39,783/55,768 = 55,768/x
  3. Step 3: Cross multiply
    39,783x = 55,768 × 55,768
  4. Step 4: Simplify right side
    39,783x = 3,110,069,824
  5. Step 5: Solve for x
    x = 3,110,069,824/39,783
  6. Step 6: Final answer
    x = 78,175.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.