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Finding the Third Proportional to 25,823 and 55,993

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Solution

The third proportional to 25,823 and 55,993 is: 121,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823 : 55,993 = 55,993 : x
  2. Step 2: Convert to fraction form
    25,823/55,993 = 55,993/x
  3. Step 3: Cross multiply
    25,823x = 55,993 × 55,993
  4. Step 4: Simplify right side
    25,823x = 3,135,216,049
  5. Step 5: Solve for x
    x = 3,135,216,049/25,823
  6. Step 6: Final answer
    x = 121,411.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.