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Finding the Third Proportional to 29,694 and 45,661

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Solution

The third proportional to 29,694 and 45,661 is: 70,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694 : 45,661 = 45,661 : x
  2. Step 2: Convert to fraction form
    29,694/45,661 = 45,661/x
  3. Step 3: Cross multiply
    29,694x = 45,661 × 45,661
  4. Step 4: Simplify right side
    29,694x = 2,084,926,921
  5. Step 5: Solve for x
    x = 2,084,926,921/29,694
  6. Step 6: Final answer
    x = 70,213.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.