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Finding the Third Proportional to 22,235 and 47,758

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Solution

The third proportional to 22,235 and 47,758 is: 102,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235 : 47,758 = 47,758 : x
  2. Step 2: Convert to fraction form
    22,235/47,758 = 47,758/x
  3. Step 3: Cross multiply
    22,235x = 47,758 × 47,758
  4. Step 4: Simplify right side
    22,235x = 2,280,826,564
  5. Step 5: Solve for x
    x = 2,280,826,564/22,235
  6. Step 6: Final answer
    x = 102,578.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.