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Finding the Third Proportional to 22,376 and 47,584

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Solution

The third proportional to 22,376 and 47,584 is: 101,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376 : 47,584 = 47,584 : x
  2. Step 2: Convert to fraction form
    22,376/47,584 = 47,584/x
  3. Step 3: Cross multiply
    22,376x = 47,584 × 47,584
  4. Step 4: Simplify right side
    22,376x = 2,264,237,056
  5. Step 5: Solve for x
    x = 2,264,237,056/22,376
  6. Step 6: Final answer
    x = 101,190.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.