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Finding the Third Proportional to 22,106 and 47,716

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Solution

The third proportional to 22,106 and 47,716 is: 102,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106 : 47,716 = 47,716 : x
  2. Step 2: Convert to fraction form
    22,106/47,716 = 47,716/x
  3. Step 3: Cross multiply
    22,106x = 47,716 × 47,716
  4. Step 4: Simplify right side
    22,106x = 2,276,816,656
  5. Step 5: Solve for x
    x = 2,276,816,656/22,106
  6. Step 6: Final answer
    x = 102,995.42

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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.