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Finding the Third Proportional to 5,657 and 8,322

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Solution

The third proportional to 5,657 and 8,322 is: 12,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 8,322 = 8,322 : x
  2. Step 2: Convert to fraction form
    5,657/8,322 = 8,322/x
  3. Step 3: Cross multiply
    5,657x = 8,322 × 8,322
  4. Step 4: Simplify right side
    5,657x = 69,255,684
  5. Step 5: Solve for x
    x = 69,255,684/5,657
  6. Step 6: Final answer
    x = 12,242.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.