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Finding the Third Proportional to 25,095 and 55,727

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Solution

The third proportional to 25,095 and 55,727 is: 123,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,095 : 55,727 = 55,727 : x
  2. Step 2: Convert to fraction form
    25,095/55,727 = 55,727/x
  3. Step 3: Cross multiply
    25,095x = 55,727 × 55,727
  4. Step 4: Simplify right side
    25,095x = 3,105,498,529
  5. Step 5: Solve for x
    x = 3,105,498,529/25,095
  6. Step 6: Final answer
    x = 123,749.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.