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Finding the Third Proportional to 29,454 and 61,393

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Solution

The third proportional to 29,454 and 61,393 is: 127,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454 : 61,393 = 61,393 : x
  2. Step 2: Convert to fraction form
    29,454/61,393 = 61,393/x
  3. Step 3: Cross multiply
    29,454x = 61,393 × 61,393
  4. Step 4: Simplify right side
    29,454x = 3,769,100,449
  5. Step 5: Solve for x
    x = 3,769,100,449/29,454
  6. Step 6: Final answer
    x = 127,965.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.