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Finding the Third Proportional to 29,837 and 65,414

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Solution

The third proportional to 29,837 and 65,414 is: 143,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837 : 65,414 = 65,414 : x
  2. Step 2: Convert to fraction form
    29,837/65,414 = 65,414/x
  3. Step 3: Cross multiply
    29,837x = 65,414 × 65,414
  4. Step 4: Simplify right side
    29,837x = 4,278,991,396
  5. Step 5: Solve for x
    x = 4,278,991,396/29,837
  6. Step 6: Final answer
    x = 143,412.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.