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Finding the Third Proportional to 4,184 and 9,728

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Solution

The third proportional to 4,184 and 9,728 is: 22,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184 : 9,728 = 9,728 : x
  2. Step 2: Convert to fraction form
    4,184/9,728 = 9,728/x
  3. Step 3: Cross multiply
    4,184x = 9,728 × 9,728
  4. Step 4: Simplify right side
    4,184x = 94,633,984
  5. Step 5: Solve for x
    x = 94,633,984/4,184
  6. Step 6: Final answer
    x = 22,618.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.