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Finding the Third Proportional to 10,638 and 19,224

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Solution

The third proportional to 10,638 and 19,224 is: 34,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 19,224 = 19,224 : x
  2. Step 2: Convert to fraction form
    10,638/19,224 = 19,224/x
  3. Step 3: Cross multiply
    10,638x = 19,224 × 19,224
  4. Step 4: Simplify right side
    10,638x = 369,562,176
  5. Step 5: Solve for x
    x = 369,562,176/10,638
  6. Step 6: Final answer
    x = 34,739.82

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.