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Finding the Third Proportional to 27,751 and 42,653

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Solution

The third proportional to 27,751 and 42,653 is: 65,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751 : 42,653 = 42,653 : x
  2. Step 2: Convert to fraction form
    27,751/42,653 = 42,653/x
  3. Step 3: Cross multiply
    27,751x = 42,653 × 42,653
  4. Step 4: Simplify right side
    27,751x = 1,819,278,409
  5. Step 5: Solve for x
    x = 1,819,278,409/27,751
  6. Step 6: Final answer
    x = 65,557.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.