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Finding the Third Proportional to 5,322 and 11,586

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Solution

The third proportional to 5,322 and 11,586 is: 25,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322 : 11,586 = 11,586 : x
  2. Step 2: Convert to fraction form
    5,322/11,586 = 11,586/x
  3. Step 3: Cross multiply
    5,322x = 11,586 × 11,586
  4. Step 4: Simplify right side
    5,322x = 134,235,396
  5. Step 5: Solve for x
    x = 134,235,396/5,322
  6. Step 6: Final answer
    x = 25,222.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.