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Finding the Third Proportional to 2,113.17 and 3,284.91

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Solution

The third proportional to 2,113.17 and 3,284.91 is: 5,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.17 : 3,284.91 = 3,284.91 : x
  2. Step 2: Convert to fraction form
    2,113.17/3,284.91 = 3,284.91/x
  3. Step 3: Cross multiply
    2,113.17x = 3,284.91 × 3,284.91
  4. Step 4: Simplify right side
    2,113.17x = 10,790,609.07
  5. Step 5: Solve for x
    x = 10,790,609.07/2,113.17
  6. Step 6: Final answer
    x = 5,106.36

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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.