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Finding the Third Proportional to 7,774.50 and 15,843.75

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Solution

The third proportional to 7,774.50 and 15,843.75 is: 32,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.50 : 15,843.75 = 15,843.75 : x
  2. Step 2: Convert to fraction form
    7,774.50/15,843.75 = 15,843.75/x
  3. Step 3: Cross multiply
    7,774.50x = 15,843.75 × 15,843.75
  4. Step 4: Simplify right side
    7,774.50x = 251,024,414.06
  5. Step 5: Solve for x
    x = 251,024,414.06/7,774.50
  6. Step 6: Final answer
    x = 32,288.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.