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Finding the Third Proportional to 8,087.50 and 17,678.75

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Solution

The third proportional to 8,087.50 and 17,678.75 is: 38,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.50 : 17,678.75 = 17,678.75 : x
  2. Step 2: Convert to fraction form
    8,087.50/17,678.75 = 17,678.75/x
  3. Step 3: Cross multiply
    8,087.50x = 17,678.75 × 17,678.75
  4. Step 4: Simplify right side
    8,087.50x = 312,538,201.56
  5. Step 5: Solve for x
    x = 312,538,201.56/8,087.50
  6. Step 6: Final answer
    x = 38,644.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.