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Finding the Third Proportional to 49,250 and 66,963

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Solution

The third proportional to 49,250 and 66,963 is: 91,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,250 : 66,963 = 66,963 : x
  2. Step 2: Convert to fraction form
    49,250/66,963 = 66,963/x
  3. Step 3: Cross multiply
    49,250x = 66,963 × 66,963
  4. Step 4: Simplify right side
    49,250x = 4,484,043,369
  5. Step 5: Solve for x
    x = 4,484,043,369/49,250
  6. Step 6: Final answer
    x = 91,046.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.