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Finding the Third Proportional to 4,573.56 and 10,022.90

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Solution

The third proportional to 4,573.56 and 10,022.90 is: 21,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.56 : 10,022.90 = 10,022.90 : x
  2. Step 2: Convert to fraction form
    4,573.56/10,022.90 = 10,022.90/x
  3. Step 3: Cross multiply
    4,573.56x = 10,022.90 × 10,022.90
  4. Step 4: Simplify right side
    4,573.56x = 100,458,616.66
  5. Step 5: Solve for x
    x = 100,458,616.66/4,573.56
  6. Step 6: Final answer
    x = 21,965.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.