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Finding the Third Proportional to 29,744 and 66,048

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Solution

The third proportional to 29,744 and 66,048 is: 146,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744 : 66,048 = 66,048 : x
  2. Step 2: Convert to fraction form
    29,744/66,048 = 66,048/x
  3. Step 3: Cross multiply
    29,744x = 66,048 × 66,048
  4. Step 4: Simplify right side
    29,744x = 4,362,338,304
  5. Step 5: Solve for x
    x = 4,362,338,304/29,744
  6. Step 6: Final answer
    x = 146,662.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.