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Finding the Third Proportional to 6,184 and 9,564

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Solution

The third proportional to 6,184 and 9,564 is: 14,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 9,564 = 9,564 : x
  2. Step 2: Convert to fraction form
    6,184/9,564 = 9,564/x
  3. Step 3: Cross multiply
    6,184x = 9,564 × 9,564
  4. Step 4: Simplify right side
    6,184x = 91,470,096
  5. Step 5: Solve for x
    x = 91,470,096/6,184
  6. Step 6: Final answer
    x = 14,791.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.