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Finding the Third Proportional to 2,296.69 and 5,356.97

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Solution

The third proportional to 2,296.69 and 5,356.97 is: 12,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.69 : 5,356.97 = 5,356.97 : x
  2. Step 2: Convert to fraction form
    2,296.69/5,356.97 = 5,356.97/x
  3. Step 3: Cross multiply
    2,296.69x = 5,356.97 × 5,356.97
  4. Step 4: Simplify right side
    2,296.69x = 28,697,114.19
  5. Step 5: Solve for x
    x = 28,697,114.19/2,296.69
  6. Step 6: Final answer
    x = 12,495.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.