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Finding the Third Proportional to 4,689 and 10,224

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Solution

The third proportional to 4,689 and 10,224 is: 22,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 10,224 = 10,224 : x
  2. Step 2: Convert to fraction form
    4,689/10,224 = 10,224/x
  3. Step 3: Cross multiply
    4,689x = 10,224 × 10,224
  4. Step 4: Simplify right side
    4,689x = 104,530,176
  5. Step 5: Solve for x
    x = 104,530,176/4,689
  6. Step 6: Final answer
    x = 22,292.64

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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.