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Finding the Third Proportional to 8,001.28 and 16,830.28

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Solution

The third proportional to 8,001.28 and 16,830.28 is: 35,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.28 : 16,830.28 = 16,830.28 : x
  2. Step 2: Convert to fraction form
    8,001.28/16,830.28 = 16,830.28/x
  3. Step 3: Cross multiply
    8,001.28x = 16,830.28 × 16,830.28
  4. Step 4: Simplify right side
    8,001.28x = 283,258,366.95
  5. Step 5: Solve for x
    x = 283,258,366.95/8,001.28
  6. Step 6: Final answer
    x = 35,401.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.