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Finding the Third Proportional to 26,690 and 56,662

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Solution

The third proportional to 26,690 and 56,662 is: 120,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,690 : 56,662 = 56,662 : x
  2. Step 2: Convert to fraction form
    26,690/56,662 = 56,662/x
  3. Step 3: Cross multiply
    26,690x = 56,662 × 56,662
  4. Step 4: Simplify right side
    26,690x = 3,210,582,244
  5. Step 5: Solve for x
    x = 3,210,582,244/26,690
  6. Step 6: Final answer
    x = 120,291.58

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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.