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Finding the Third Proportional to 8,037.50 and 17,137

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Solution

The third proportional to 8,037.50 and 17,137 is: 36,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.50 : 17,137 = 17,137 : x
  2. Step 2: Convert to fraction form
    8,037.50/17,137 = 17,137/x
  3. Step 3: Cross multiply
    8,037.50x = 17,137 × 17,137
  4. Step 4: Simplify right side
    8,037.50x = 293,676,769
  5. Step 5: Solve for x
    x = 293,676,769/8,037.50
  6. Step 6: Final answer
    x = 36,538.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.