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Finding the Third Proportional to 26,269 and 56,907

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Solution

The third proportional to 26,269 and 56,907 is: 123,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,269 : 56,907 = 56,907 : x
  2. Step 2: Convert to fraction form
    26,269/56,907 = 56,907/x
  3. Step 3: Cross multiply
    26,269x = 56,907 × 56,907
  4. Step 4: Simplify right side
    26,269x = 3,238,406,649
  5. Step 5: Solve for x
    x = 3,238,406,649/26,269
  6. Step 6: Final answer
    x = 123,278.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.