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Finding the Third Proportional to 27,776 and 38,976

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Solution

The third proportional to 27,776 and 38,976 is: 54,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776 : 38,976 = 38,976 : x
  2. Step 2: Convert to fraction form
    27,776/38,976 = 38,976/x
  3. Step 3: Cross multiply
    27,776x = 38,976 × 38,976
  4. Step 4: Simplify right side
    27,776x = 1,519,128,576
  5. Step 5: Solve for x
    x = 1,519,128,576/27,776
  6. Step 6: Final answer
    x = 54,692.13

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Why These Related Problems?

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