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Finding the Third Proportional to 47,214 and 66,006

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Solution

The third proportional to 47,214 and 66,006 is: 92,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 66,006 = 66,006 : x
  2. Step 2: Convert to fraction form
    47,214/66,006 = 66,006/x
  3. Step 3: Cross multiply
    47,214x = 66,006 × 66,006
  4. Step 4: Simplify right side
    47,214x = 4,356,792,036
  5. Step 5: Solve for x
    x = 4,356,792,036/47,214
  6. Step 6: Final answer
    x = 92,277.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.