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Finding the Third Proportional to 12,942 and 27,580

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Solution

The third proportional to 12,942 and 27,580 is: 58,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942 : 27,580 = 27,580 : x
  2. Step 2: Convert to fraction form
    12,942/27,580 = 27,580/x
  3. Step 3: Cross multiply
    12,942x = 27,580 × 27,580
  4. Step 4: Simplify right side
    12,942x = 760,656,400
  5. Step 5: Solve for x
    x = 760,656,400/12,942
  6. Step 6: Final answer
    x = 58,774.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.