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Finding the Third Proportional to 8,128 and 12,020

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Solution

The third proportional to 8,128 and 12,020 is: 17,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 12,020 = 12,020 : x
  2. Step 2: Convert to fraction form
    8,128/12,020 = 12,020/x
  3. Step 3: Cross multiply
    8,128x = 12,020 × 12,020
  4. Step 4: Simplify right side
    8,128x = 144,480,400
  5. Step 5: Solve for x
    x = 144,480,400/8,128
  6. Step 6: Final answer
    x = 17,775.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.