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Finding the Third Proportional to 9,612 and 19,224

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Solution

The third proportional to 9,612 and 19,224 is: 38,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 19,224 = 19,224 : x
  2. Step 2: Convert to fraction form
    9,612/19,224 = 19,224/x
  3. Step 3: Cross multiply
    9,612x = 19,224 × 19,224
  4. Step 4: Simplify right side
    9,612x = 369,562,176
  5. Step 5: Solve for x
    x = 369,562,176/9,612
  6. Step 6: Final answer
    x = 38,448

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.