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Finding the Third Proportional to 5,800 and 9,564

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Solution

The third proportional to 5,800 and 9,564 is: 15,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800 : 9,564 = 9,564 : x
  2. Step 2: Convert to fraction form
    5,800/9,564 = 9,564/x
  3. Step 3: Cross multiply
    5,800x = 9,564 × 9,564
  4. Step 4: Simplify right side
    5,800x = 91,470,096
  5. Step 5: Solve for x
    x = 91,470,096/5,800
  6. Step 6: Final answer
    x = 15,770.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.