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Finding the Third Proportional to 48,772 and 66,243

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Solution

The third proportional to 48,772 and 66,243 is: 89,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,772 : 66,243 = 66,243 : x
  2. Step 2: Convert to fraction form
    48,772/66,243 = 66,243/x
  3. Step 3: Cross multiply
    48,772x = 66,243 × 66,243
  4. Step 4: Simplify right side
    48,772x = 4,388,135,049
  5. Step 5: Solve for x
    x = 4,388,135,049/48,772
  6. Step 6: Final answer
    x = 89,972.42

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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.