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Finding the Third Proportional to 22,859.75 and 34,289.75

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Solution

The third proportional to 22,859.75 and 34,289.75 is: 51,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.75 : 34,289.75 = 34,289.75 : x
  2. Step 2: Convert to fraction form
    22,859.75/34,289.75 = 34,289.75/x
  3. Step 3: Cross multiply
    22,859.75x = 34,289.75 × 34,289.75
  4. Step 4: Simplify right side
    22,859.75x = 1,175,786,955.06
  5. Step 5: Solve for x
    x = 1,175,786,955.06/22,859.75
  6. Step 6: Final answer
    x = 51,434.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.