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Finding the Third Proportional to 5,836 and 9,322

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Solution

The third proportional to 5,836 and 9,322 is: 14,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836 : 9,322 = 9,322 : x
  2. Step 2: Convert to fraction form
    5,836/9,322 = 9,322/x
  3. Step 3: Cross multiply
    5,836x = 9,322 × 9,322
  4. Step 4: Simplify right side
    5,836x = 86,899,684
  5. Step 5: Solve for x
    x = 86,899,684/5,836
  6. Step 6: Final answer
    x = 14,890.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.