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Finding the Third Proportional to 7,863.33 and 17,106.82

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Solution

The third proportional to 7,863.33 and 17,106.82 is: 37,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.33 : 17,106.82 = 17,106.82 : x
  2. Step 2: Convert to fraction form
    7,863.33/17,106.82 = 17,106.82/x
  3. Step 3: Cross multiply
    7,863.33x = 17,106.82 × 17,106.82
  4. Step 4: Simplify right side
    7,863.33x = 292,643,301.20
  5. Step 5: Solve for x
    x = 292,643,301.20/7,863.33
  6. Step 6: Final answer
    x = 37,216.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.