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Finding the Third Proportional to 26,698 and 56,689

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Solution

The third proportional to 26,698 and 56,689 is: 120,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698 : 56,689 = 56,689 : x
  2. Step 2: Convert to fraction form
    26,698/56,689 = 56,689/x
  3. Step 3: Cross multiply
    26,698x = 56,689 × 56,689
  4. Step 4: Simplify right side
    26,698x = 3,213,642,721
  5. Step 5: Solve for x
    x = 3,213,642,721/26,698
  6. Step 6: Final answer
    x = 120,370.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.