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Finding the Third Proportional to 12,718 and 27,896

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Solution

The third proportional to 12,718 and 27,896 is: 61,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718 : 27,896 = 27,896 : x
  2. Step 2: Convert to fraction form
    12,718/27,896 = 27,896/x
  3. Step 3: Cross multiply
    12,718x = 27,896 × 27,896
  4. Step 4: Simplify right side
    12,718x = 778,186,816
  5. Step 5: Solve for x
    x = 778,186,816/12,718
  6. Step 6: Final answer
    x = 61,187.83

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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.