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Finding the Third Proportional to 27,332 and 57,928

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Solution

The third proportional to 27,332 and 57,928 is: 122,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,332 : 57,928 = 57,928 : x
  2. Step 2: Convert to fraction form
    27,332/57,928 = 57,928/x
  3. Step 3: Cross multiply
    27,332x = 57,928 × 57,928
  4. Step 4: Simplify right side
    27,332x = 3,355,653,184
  5. Step 5: Solve for x
    x = 3,355,653,184/27,332
  6. Step 6: Final answer
    x = 122,773.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.