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Finding the Third Proportional to 22,176 and 52,320

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Solution

The third proportional to 22,176 and 52,320 is: 123,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176 : 52,320 = 52,320 : x
  2. Step 2: Convert to fraction form
    22,176/52,320 = 52,320/x
  3. Step 3: Cross multiply
    22,176x = 52,320 × 52,320
  4. Step 4: Simplify right side
    22,176x = 2,737,382,400
  5. Step 5: Solve for x
    x = 2,737,382,400/22,176
  6. Step 6: Final answer
    x = 123,438.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.