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Finding the Third Proportional to 26,727 and 57,826

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Solution

The third proportional to 26,727 and 57,826 is: 125,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,727 : 57,826 = 57,826 : x
  2. Step 2: Convert to fraction form
    26,727/57,826 = 57,826/x
  3. Step 3: Cross multiply
    26,727x = 57,826 × 57,826
  4. Step 4: Simplify right side
    26,727x = 3,343,846,276
  5. Step 5: Solve for x
    x = 3,343,846,276/26,727
  6. Step 6: Final answer
    x = 125,111.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.