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Finding the Third Proportional to 7,673.06 and 16,151.06

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Solution

The third proportional to 7,673.06 and 16,151.06 is: 33,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.06 : 16,151.06 = 16,151.06 : x
  2. Step 2: Convert to fraction form
    7,673.06/16,151.06 = 16,151.06/x
  3. Step 3: Cross multiply
    7,673.06x = 16,151.06 × 16,151.06
  4. Step 4: Simplify right side
    7,673.06x = 260,856,819.88
  5. Step 5: Solve for x
    x = 260,856,819.88/7,673.06
  6. Step 6: Final answer
    x = 33,996.44

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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.