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Finding the Third Proportional to 5,206 and 7,815

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Solution

The third proportional to 5,206 and 7,815 is: 11,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 7,815 = 7,815 : x
  2. Step 2: Convert to fraction form
    5,206/7,815 = 7,815/x
  3. Step 3: Cross multiply
    5,206x = 7,815 × 7,815
  4. Step 4: Simplify right side
    5,206x = 61,074,225
  5. Step 5: Solve for x
    x = 61,074,225/5,206
  6. Step 6: Final answer
    x = 11,731.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.