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Finding the Third Proportional to 29,422 and 45,017

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Solution

The third proportional to 29,422 and 45,017 is: 68,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,422 : 45,017 = 45,017 : x
  2. Step 2: Convert to fraction form
    29,422/45,017 = 45,017/x
  3. Step 3: Cross multiply
    29,422x = 45,017 × 45,017
  4. Step 4: Simplify right side
    29,422x = 2,026,530,289
  5. Step 5: Solve for x
    x = 2,026,530,289/29,422
  6. Step 6: Final answer
    x = 68,878.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.