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Finding the Third Proportional to 22,202 and 47,562

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Solution

The third proportional to 22,202 and 47,562 is: 101,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202 : 47,562 = 47,562 : x
  2. Step 2: Convert to fraction form
    22,202/47,562 = 47,562/x
  3. Step 3: Cross multiply
    22,202x = 47,562 × 47,562
  4. Step 4: Simplify right side
    22,202x = 2,262,143,844
  5. Step 5: Solve for x
    x = 2,262,143,844/22,202
  6. Step 6: Final answer
    x = 101,889.19

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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.