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Finding the Third Proportional to 2,296.69 and 4,729.22

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Solution

The third proportional to 2,296.69 and 4,729.22 is: 9,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.69 : 4,729.22 = 4,729.22 : x
  2. Step 2: Convert to fraction form
    2,296.69/4,729.22 = 4,729.22/x
  3. Step 3: Cross multiply
    2,296.69x = 4,729.22 × 4,729.22
  4. Step 4: Simplify right side
    2,296.69x = 22,365,509.99
  5. Step 5: Solve for x
    x = 22,365,509.99/2,296.69
  6. Step 6: Final answer
    x = 9,738.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.