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Finding the Third Proportional to 22,278 and 39,601.50

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Solution

The third proportional to 22,278 and 39,601.50 is: 70,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278 : 39,601.50 = 39,601.50 : x
  2. Step 2: Convert to fraction form
    22,278/39,601.50 = 39,601.50/x
  3. Step 3: Cross multiply
    22,278x = 39,601.50 × 39,601.50
  4. Step 4: Simplify right side
    22,278x = 1,568,278,802.25
  5. Step 5: Solve for x
    x = 1,568,278,802.25/22,278
  6. Step 6: Final answer
    x = 70,395.85

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.