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Finding the Third Proportional to 29,891 and 64,723

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Solution

The third proportional to 29,891 and 64,723 is: 140,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891 : 64,723 = 64,723 : x
  2. Step 2: Convert to fraction form
    29,891/64,723 = 64,723/x
  3. Step 3: Cross multiply
    29,891x = 64,723 × 64,723
  4. Step 4: Simplify right side
    29,891x = 4,189,066,729
  5. Step 5: Solve for x
    x = 4,189,066,729/29,891
  6. Step 6: Final answer
    x = 140,144.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.