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Finding the Third Proportional to 20,220 and 27,028

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Solution

The third proportional to 20,220 and 27,028 is: 36,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 27,028 = 27,028 : x
  2. Step 2: Convert to fraction form
    20,220/27,028 = 27,028/x
  3. Step 3: Cross multiply
    20,220x = 27,028 × 27,028
  4. Step 4: Simplify right side
    20,220x = 730,512,784
  5. Step 5: Solve for x
    x = 730,512,784/20,220
  6. Step 6: Final answer
    x = 36,128.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.