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Finding the Third Proportional to 22,278 and 31,337

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Solution

The third proportional to 22,278 and 31,337 is: 44,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278 : 31,337 = 31,337 : x
  2. Step 2: Convert to fraction form
    22,278/31,337 = 31,337/x
  3. Step 3: Cross multiply
    22,278x = 31,337 × 31,337
  4. Step 4: Simplify right side
    22,278x = 982,007,569
  5. Step 5: Solve for x
    x = 982,007,569/22,278
  6. Step 6: Final answer
    x = 44,079.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.