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Finding the Third Proportional to 19,244 and 29,226

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Solution

The third proportional to 19,244 and 29,226 is: 44,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244 : 29,226 = 29,226 : x
  2. Step 2: Convert to fraction form
    19,244/29,226 = 29,226/x
  3. Step 3: Cross multiply
    19,244x = 29,226 × 29,226
  4. Step 4: Simplify right side
    19,244x = 854,159,076
  5. Step 5: Solve for x
    x = 854,159,076/19,244
  6. Step 6: Final answer
    x = 44,385.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.