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Finding the Third Proportional to 5,682 and 9,238.50

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Solution

The third proportional to 5,682 and 9,238.50 is: 15,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682 : 9,238.50 = 9,238.50 : x
  2. Step 2: Convert to fraction form
    5,682/9,238.50 = 9,238.50/x
  3. Step 3: Cross multiply
    5,682x = 9,238.50 × 9,238.50
  4. Step 4: Simplify right side
    5,682x = 85,349,882.25
  5. Step 5: Solve for x
    x = 85,349,882.25/5,682
  6. Step 6: Final answer
    x = 15,021.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.