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Finding the Third Proportional to 27,078 and 36,222

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Solution

The third proportional to 27,078 and 36,222 is: 48,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078 : 36,222 = 36,222 : x
  2. Step 2: Convert to fraction form
    27,078/36,222 = 36,222/x
  3. Step 3: Cross multiply
    27,078x = 36,222 × 36,222
  4. Step 4: Simplify right side
    27,078x = 1,312,033,284
  5. Step 5: Solve for x
    x = 1,312,033,284/27,078
  6. Step 6: Final answer
    x = 48,453.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.