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Finding the Third Proportional to 19,441 and 29,156

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Solution

The third proportional to 19,441 and 29,156 is: 43,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441 : 29,156 = 29,156 : x
  2. Step 2: Convert to fraction form
    19,441/29,156 = 29,156/x
  3. Step 3: Cross multiply
    19,441x = 29,156 × 29,156
  4. Step 4: Simplify right side
    19,441x = 850,072,336
  5. Step 5: Solve for x
    x = 850,072,336/19,441
  6. Step 6: Final answer
    x = 43,725.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.