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Finding the Third Proportional to 17,872.59 and 35,296.31

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Solution

The third proportional to 17,872.59 and 35,296.31 is: 69,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.59 : 35,296.31 = 35,296.31 : x
  2. Step 2: Convert to fraction form
    17,872.59/35,296.31 = 35,296.31/x
  3. Step 3: Cross multiply
    17,872.59x = 35,296.31 × 35,296.31
  4. Step 4: Simplify right side
    17,872.59x = 1,245,829,676.10
  5. Step 5: Solve for x
    x = 1,245,829,676.10/17,872.59
  6. Step 6: Final answer
    x = 69,706.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.