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Finding the Third Proportional to 20,128 and 22,240

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Solution

The third proportional to 20,128 and 22,240 is: 24,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128 : 22,240 = 22,240 : x
  2. Step 2: Convert to fraction form
    20,128/22,240 = 22,240/x
  3. Step 3: Cross multiply
    20,128x = 22,240 × 22,240
  4. Step 4: Simplify right side
    20,128x = 494,617,600
  5. Step 5: Solve for x
    x = 494,617,600/20,128
  6. Step 6: Final answer
    x = 24,573.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.