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Finding the Third Proportional to 22,772 and 35,261

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Solution

The third proportional to 22,772 and 35,261 is: 54,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772 : 35,261 = 35,261 : x
  2. Step 2: Convert to fraction form
    22,772/35,261 = 35,261/x
  3. Step 3: Cross multiply
    22,772x = 35,261 × 35,261
  4. Step 4: Simplify right side
    22,772x = 1,243,338,121
  5. Step 5: Solve for x
    x = 1,243,338,121/22,772
  6. Step 6: Final answer
    x = 54,599.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.