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Finding the Third Proportional to 12,324 and 19,818

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Solution

The third proportional to 12,324 and 19,818 is: 31,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 19,818 = 19,818 : x
  2. Step 2: Convert to fraction form
    12,324/19,818 = 19,818/x
  3. Step 3: Cross multiply
    12,324x = 19,818 × 19,818
  4. Step 4: Simplify right side
    12,324x = 392,753,124
  5. Step 5: Solve for x
    x = 392,753,124/12,324
  6. Step 6: Final answer
    x = 31,868.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.