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Finding the Third Proportional to 25,919.75 and 55,823.75

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Solution

The third proportional to 25,919.75 and 55,823.75 is: 120,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,919.75 : 55,823.75 = 55,823.75 : x
  2. Step 2: Convert to fraction form
    25,919.75/55,823.75 = 55,823.75/x
  3. Step 3: Cross multiply
    25,919.75x = 55,823.75 × 55,823.75
  4. Step 4: Simplify right side
    25,919.75x = 3,116,291,064.06
  5. Step 5: Solve for x
    x = 3,116,291,064.06/25,919.75
  6. Step 6: Final answer
    x = 120,228.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.