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Finding the Third Proportional to 2,106.84 and 2,332.97

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Solution

The third proportional to 2,106.84 and 2,332.97 is: 2,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.84 : 2,332.97 = 2,332.97 : x
  2. Step 2: Convert to fraction form
    2,106.84/2,332.97 = 2,332.97/x
  3. Step 3: Cross multiply
    2,106.84x = 2,332.97 × 2,332.97
  4. Step 4: Simplify right side
    2,106.84x = 5,442,743.19
  5. Step 5: Solve for x
    x = 5,442,743.19/2,106.84
  6. Step 6: Final answer
    x = 2,583.36

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.