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Finding the Third Proportional to 5,206 and 6,322

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Solution

The third proportional to 5,206 and 6,322 is: 7,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 6,322 = 6,322 : x
  2. Step 2: Convert to fraction form
    5,206/6,322 = 6,322/x
  3. Step 3: Cross multiply
    5,206x = 6,322 × 6,322
  4. Step 4: Simplify right side
    5,206x = 39,967,684
  5. Step 5: Solve for x
    x = 39,967,684/5,206
  6. Step 6: Final answer
    x = 7,677.23

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.