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Finding the Third Proportional to 19,165 and 29,435

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Solution

The third proportional to 19,165 and 29,435 is: 45,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165 : 29,435 = 29,435 : x
  2. Step 2: Convert to fraction form
    19,165/29,435 = 29,435/x
  3. Step 3: Cross multiply
    19,165x = 29,435 × 29,435
  4. Step 4: Simplify right side
    19,165x = 866,419,225
  5. Step 5: Solve for x
    x = 866,419,225/19,165
  6. Step 6: Final answer
    x = 45,208.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.