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Finding the Third Proportional to 4,797.56 and 10,164.66

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Solution

The third proportional to 4,797.56 and 10,164.66 is: 21,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.56 : 10,164.66 = 10,164.66 : x
  2. Step 2: Convert to fraction form
    4,797.56/10,164.66 = 10,164.66/x
  3. Step 3: Cross multiply
    4,797.56x = 10,164.66 × 10,164.66
  4. Step 4: Simplify right side
    4,797.56x = 103,320,236.68
  5. Step 5: Solve for x
    x = 103,320,236.68/4,797.56
  6. Step 6: Final answer
    x = 21,535.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.