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Finding the Third Proportional to 38,249 and 53,768

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Solution

The third proportional to 38,249 and 53,768 is: 75,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249 : 53,768 = 53,768 : x
  2. Step 2: Convert to fraction form
    38,249/53,768 = 53,768/x
  3. Step 3: Cross multiply
    38,249x = 53,768 × 53,768
  4. Step 4: Simplify right side
    38,249x = 2,890,997,824
  5. Step 5: Solve for x
    x = 2,890,997,824/38,249
  6. Step 6: Final answer
    x = 75,583.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.