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Finding the Third Proportional to 17,772 and 27,518

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Solution

The third proportional to 17,772 and 27,518 is: 42,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772 : 27,518 = 27,518 : x
  2. Step 2: Convert to fraction form
    17,772/27,518 = 27,518/x
  3. Step 3: Cross multiply
    17,772x = 27,518 × 27,518
  4. Step 4: Simplify right side
    17,772x = 757,240,324
  5. Step 5: Solve for x
    x = 757,240,324/17,772
  6. Step 6: Final answer
    x = 42,608.62

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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.