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Finding the Third Proportional to 23,202 and 49,682

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Solution

The third proportional to 23,202 and 49,682 is: 106,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202 : 49,682 = 49,682 : x
  2. Step 2: Convert to fraction form
    23,202/49,682 = 49,682/x
  3. Step 3: Cross multiply
    23,202x = 49,682 × 49,682
  4. Step 4: Simplify right side
    23,202x = 2,468,301,124
  5. Step 5: Solve for x
    x = 2,468,301,124/23,202
  6. Step 6: Final answer
    x = 106,383.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.