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Finding the Third Proportional to 19,928 and 27,928

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Solution

The third proportional to 19,928 and 27,928 is: 39,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,928 : 27,928 = 27,928 : x
  2. Step 2: Convert to fraction form
    19,928/27,928 = 27,928/x
  3. Step 3: Cross multiply
    19,928x = 27,928 × 27,928
  4. Step 4: Simplify right side
    19,928x = 779,973,184
  5. Step 5: Solve for x
    x = 779,973,184/19,928
  6. Step 6: Final answer
    x = 39,139.56

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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.