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Finding the Third Proportional to 12,580 and 27,578

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Solution

The third proportional to 12,580 and 27,578 is: 60,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580 : 27,578 = 27,578 : x
  2. Step 2: Convert to fraction form
    12,580/27,578 = 27,578/x
  3. Step 3: Cross multiply
    12,580x = 27,578 × 27,578
  4. Step 4: Simplify right side
    12,580x = 760,546,084
  5. Step 5: Solve for x
    x = 760,546,084/12,580
  6. Step 6: Final answer
    x = 60,456.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.