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Finding the Third Proportional to 27,178 and 42,006

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Solution

The third proportional to 27,178 and 42,006 is: 64,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 42,006 = 42,006 : x
  2. Step 2: Convert to fraction form
    27,178/42,006 = 42,006/x
  3. Step 3: Cross multiply
    27,178x = 42,006 × 42,006
  4. Step 4: Simplify right side
    27,178x = 1,764,504,036
  5. Step 5: Solve for x
    x = 1,764,504,036/27,178
  6. Step 6: Final answer
    x = 64,923.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.