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Finding the Third Proportional to 29,828 and 64,327

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Solution

The third proportional to 29,828 and 64,327 is: 138,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828 : 64,327 = 64,327 : x
  2. Step 2: Convert to fraction form
    29,828/64,327 = 64,327/x
  3. Step 3: Cross multiply
    29,828x = 64,327 × 64,327
  4. Step 4: Simplify right side
    29,828x = 4,137,962,929
  5. Step 5: Solve for x
    x = 4,137,962,929/29,828
  6. Step 6: Final answer
    x = 138,727.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.