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Finding the Third Proportional to 26,746 and 57,514

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Solution

The third proportional to 26,746 and 57,514 is: 123,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746 : 57,514 = 57,514 : x
  2. Step 2: Convert to fraction form
    26,746/57,514 = 57,514/x
  3. Step 3: Cross multiply
    26,746x = 57,514 × 57,514
  4. Step 4: Simplify right side
    26,746x = 3,307,860,196
  5. Step 5: Solve for x
    x = 3,307,860,196/26,746
  6. Step 6: Final answer
    x = 123,676.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.