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Finding the Third Proportional to 29,691 and 65,334

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Solution

The third proportional to 29,691 and 65,334 is: 143,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 65,334 = 65,334 : x
  2. Step 2: Convert to fraction form
    29,691/65,334 = 65,334/x
  3. Step 3: Cross multiply
    29,691x = 65,334 × 65,334
  4. Step 4: Simplify right side
    29,691x = 4,268,531,556
  5. Step 5: Solve for x
    x = 4,268,531,556/29,691
  6. Step 6: Final answer
    x = 143,765.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.