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Finding the Third Proportional to 29,968 and 39,768

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Solution

The third proportional to 29,968 and 39,768 is: 52,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968 : 39,768 = 39,768 : x
  2. Step 2: Convert to fraction form
    29,968/39,768 = 39,768/x
  3. Step 3: Cross multiply
    29,968x = 39,768 × 39,768
  4. Step 4: Simplify right side
    29,968x = 1,581,493,824
  5. Step 5: Solve for x
    x = 1,581,493,824/29,968
  6. Step 6: Final answer
    x = 52,772.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.