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Finding the Third Proportional to 4,564.13 and 9,367.88

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Solution

The third proportional to 4,564.13 and 9,367.88 is: 19,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.13 : 9,367.88 = 9,367.88 : x
  2. Step 2: Convert to fraction form
    4,564.13/9,367.88 = 9,367.88/x
  3. Step 3: Cross multiply
    4,564.13x = 9,367.88 × 9,367.88
  4. Step 4: Simplify right side
    4,564.13x = 87,757,082.02
  5. Step 5: Solve for x
    x = 87,757,082.02/4,564.13
  6. Step 6: Final answer
    x = 19,227.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.