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Finding the Third Proportional to 3,827.50 and 7,896

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Solution

The third proportional to 3,827.50 and 7,896 is: 16,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.50 : 7,896 = 7,896 : x
  2. Step 2: Convert to fraction form
    3,827.50/7,896 = 7,896/x
  3. Step 3: Cross multiply
    3,827.50x = 7,896 × 7,896
  4. Step 4: Simplify right side
    3,827.50x = 62,346,816
  5. Step 5: Solve for x
    x = 62,346,816/3,827.50
  6. Step 6: Final answer
    x = 16,289.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.