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Finding the Third Proportional to 23,215 and 33,829

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Solution

The third proportional to 23,215 and 33,829 is: 49,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215 : 33,829 = 33,829 : x
  2. Step 2: Convert to fraction form
    23,215/33,829 = 33,829/x
  3. Step 3: Cross multiply
    23,215x = 33,829 × 33,829
  4. Step 4: Simplify right side
    23,215x = 1,144,401,241
  5. Step 5: Solve for x
    x = 1,144,401,241/23,215
  6. Step 6: Final answer
    x = 49,295.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.