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Finding the Third Proportional to 14,422 and 29,240

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Solution

The third proportional to 14,422 and 29,240 is: 59,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422 : 29,240 = 29,240 : x
  2. Step 2: Convert to fraction form
    14,422/29,240 = 29,240/x
  3. Step 3: Cross multiply
    14,422x = 29,240 × 29,240
  4. Step 4: Simplify right side
    14,422x = 854,977,600
  5. Step 5: Solve for x
    x = 854,977,600/14,422
  6. Step 6: Final answer
    x = 59,282.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.