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Finding the Third Proportional to 27,002 and 40,222

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Solution

The third proportional to 27,002 and 40,222 is: 59,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002 : 40,222 = 40,222 : x
  2. Step 2: Convert to fraction form
    27,002/40,222 = 40,222/x
  3. Step 3: Cross multiply
    27,002x = 40,222 × 40,222
  4. Step 4: Simplify right side
    27,002x = 1,617,809,284
  5. Step 5: Solve for x
    x = 1,617,809,284/27,002
  6. Step 6: Final answer
    x = 59,914.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.