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Finding the Third Proportional to 2,161.69 and 3,345.75

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Solution

The third proportional to 2,161.69 and 3,345.75 is: 5,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.69 : 3,345.75 = 3,345.75 : x
  2. Step 2: Convert to fraction form
    2,161.69/3,345.75 = 3,345.75/x
  3. Step 3: Cross multiply
    2,161.69x = 3,345.75 × 3,345.75
  4. Step 4: Simplify right side
    2,161.69x = 11,194,043.06
  5. Step 5: Solve for x
    x = 11,194,043.06/2,161.69
  6. Step 6: Final answer
    x = 5,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.