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Finding the Third Proportional to 22,206 and 47,570

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Solution

The third proportional to 22,206 and 47,570 is: 101,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206 : 47,570 = 47,570 : x
  2. Step 2: Convert to fraction form
    22,206/47,570 = 47,570/x
  3. Step 3: Cross multiply
    22,206x = 47,570 × 47,570
  4. Step 4: Simplify right side
    22,206x = 2,262,904,900
  5. Step 5: Solve for x
    x = 2,262,904,900/22,206
  6. Step 6: Final answer
    x = 101,905.11

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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.