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Finding the Third Proportional to 4,764.66 and 10,076.06

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Solution

The third proportional to 4,764.66 and 10,076.06 is: 21,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.66 : 10,076.06 = 10,076.06 : x
  2. Step 2: Convert to fraction form
    4,764.66/10,076.06 = 10,076.06/x
  3. Step 3: Cross multiply
    4,764.66x = 10,076.06 × 10,076.06
  4. Step 4: Simplify right side
    4,764.66x = 101,527,035.50
  5. Step 5: Solve for x
    x = 101,527,035.50/4,764.66
  6. Step 6: Final answer
    x = 21,308.37

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.