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Finding the Third Proportional to 7,837.50 and 17,115

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Solution

The third proportional to 7,837.50 and 17,115 is: 37,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.50 : 17,115 = 17,115 : x
  2. Step 2: Convert to fraction form
    7,837.50/17,115 = 17,115/x
  3. Step 3: Cross multiply
    7,837.50x = 17,115 × 17,115
  4. Step 4: Simplify right side
    7,837.50x = 292,923,225
  5. Step 5: Solve for x
    x = 292,923,225/7,837.50
  6. Step 6: Final answer
    x = 37,374.57

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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.