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Finding the Third Proportional to 9,324 and 19,684

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Solution

The third proportional to 9,324 and 19,684 is: 41,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 19,684 = 19,684 : x
  2. Step 2: Convert to fraction form
    9,324/19,684 = 19,684/x
  3. Step 3: Cross multiply
    9,324x = 19,684 × 19,684
  4. Step 4: Simplify right side
    9,324x = 387,459,856
  5. Step 5: Solve for x
    x = 387,459,856/9,324
  6. Step 6: Final answer
    x = 41,555.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.