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Finding the Third Proportional to 26,858 and 35,514

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Solution

The third proportional to 26,858 and 35,514 is: 46,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858 : 35,514 = 35,514 : x
  2. Step 2: Convert to fraction form
    26,858/35,514 = 35,514/x
  3. Step 3: Cross multiply
    26,858x = 35,514 × 35,514
  4. Step 4: Simplify right side
    26,858x = 1,261,244,196
  5. Step 5: Solve for x
    x = 1,261,244,196/26,858
  6. Step 6: Final answer
    x = 46,959.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.