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Finding the Third Proportional to 49,252 and 66,966

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Solution

The third proportional to 49,252 and 66,966 is: 91,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,252 : 66,966 = 66,966 : x
  2. Step 2: Convert to fraction form
    49,252/66,966 = 66,966/x
  3. Step 3: Cross multiply
    49,252x = 66,966 × 66,966
  4. Step 4: Simplify right side
    49,252x = 4,484,445,156
  5. Step 5: Solve for x
    x = 4,484,445,156/49,252
  6. Step 6: Final answer
    x = 91,051.03

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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.