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Finding the Third Proportional to 29,784 and 44,644

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Solution

The third proportional to 29,784 and 44,644 is: 66,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784 : 44,644 = 44,644 : x
  2. Step 2: Convert to fraction form
    29,784/44,644 = 44,644/x
  3. Step 3: Cross multiply
    29,784x = 44,644 × 44,644
  4. Step 4: Simplify right side
    29,784x = 1,993,086,736
  5. Step 5: Solve for x
    x = 1,993,086,736/29,784
  6. Step 6: Final answer
    x = 66,918.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.