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Finding the Third Proportional to 10,764 and 17,284.50

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Solution

The third proportional to 10,764 and 17,284.50 is: 27,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 17,284.50 = 17,284.50 : x
  2. Step 2: Convert to fraction form
    10,764/17,284.50 = 17,284.50/x
  3. Step 3: Cross multiply
    10,764x = 17,284.50 × 17,284.50
  4. Step 4: Simplify right side
    10,764x = 298,753,940.25
  5. Step 5: Solve for x
    x = 298,753,940.25/10,764
  6. Step 6: Final answer
    x = 27,754.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.