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Finding the Third Proportional to 29,422 and 42,050

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Solution

The third proportional to 29,422 and 42,050 is: 60,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,422 : 42,050 = 42,050 : x
  2. Step 2: Convert to fraction form
    29,422/42,050 = 42,050/x
  3. Step 3: Cross multiply
    29,422x = 42,050 × 42,050
  4. Step 4: Simplify right side
    29,422x = 1,768,202,500
  5. Step 5: Solve for x
    x = 1,768,202,500/29,422
  6. Step 6: Final answer
    x = 60,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.