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Finding the Third Proportional to 22,264 and 47,596

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Solution

The third proportional to 22,264 and 47,596 is: 101,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264 : 47,596 = 47,596 : x
  2. Step 2: Convert to fraction form
    22,264/47,596 = 47,596/x
  3. Step 3: Cross multiply
    22,264x = 47,596 × 47,596
  4. Step 4: Simplify right side
    22,264x = 2,265,379,216
  5. Step 5: Solve for x
    x = 2,265,379,216/22,264
  6. Step 6: Final answer
    x = 101,750.77

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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.