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Finding the Third Proportional to 29,723 and 66,007

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Solution

The third proportional to 29,723 and 66,007 is: 146,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,723 : 66,007 = 66,007 : x
  2. Step 2: Convert to fraction form
    29,723/66,007 = 66,007/x
  3. Step 3: Cross multiply
    29,723x = 66,007 × 66,007
  4. Step 4: Simplify right side
    29,723x = 4,356,924,049
  5. Step 5: Solve for x
    x = 4,356,924,049/29,723
  6. Step 6: Final answer
    x = 146,584.26

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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.