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Finding the Third Proportional to 3,076.13 and 6,767.63

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Solution

The third proportional to 3,076.13 and 6,767.63 is: 14,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.13 : 6,767.63 = 6,767.63 : x
  2. Step 2: Convert to fraction form
    3,076.13/6,767.63 = 6,767.63/x
  3. Step 3: Cross multiply
    3,076.13x = 6,767.63 × 6,767.63
  4. Step 4: Simplify right side
    3,076.13x = 45,800,748.14
  5. Step 5: Solve for x
    x = 45,800,748.14/3,076.13
  6. Step 6: Final answer
    x = 14,889.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.