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Finding the Third Proportional to 22,962 and 49,596

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Solution

The third proportional to 22,962 and 49,596 is: 107,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962 : 49,596 = 49,596 : x
  2. Step 2: Convert to fraction form
    22,962/49,596 = 49,596/x
  3. Step 3: Cross multiply
    22,962x = 49,596 × 49,596
  4. Step 4: Simplify right side
    22,962x = 2,459,763,216
  5. Step 5: Solve for x
    x = 2,459,763,216/22,962
  6. Step 6: Final answer
    x = 107,123.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.