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Finding the Third Proportional to 22,177 and 26,278

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Solution

The third proportional to 22,177 and 26,278 is: 31,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177 : 26,278 = 26,278 : x
  2. Step 2: Convert to fraction form
    22,177/26,278 = 26,278/x
  3. Step 3: Cross multiply
    22,177x = 26,278 × 26,278
  4. Step 4: Simplify right side
    22,177x = 690,533,284
  5. Step 5: Solve for x
    x = 690,533,284/22,177
  6. Step 6: Final answer
    x = 31,137.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.