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Finding the Third Proportional to 22,388 and 48,769

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Solution

The third proportional to 22,388 and 48,769 is: 106,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388 : 48,769 = 48,769 : x
  2. Step 2: Convert to fraction form
    22,388/48,769 = 48,769/x
  3. Step 3: Cross multiply
    22,388x = 48,769 × 48,769
  4. Step 4: Simplify right side
    22,388x = 2,378,415,361
  5. Step 5: Solve for x
    x = 2,378,415,361/22,388
  6. Step 6: Final answer
    x = 106,236.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.