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Finding the Third Proportional to 10,701 and 19,818

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Solution

The third proportional to 10,701 and 19,818 is: 36,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701 : 19,818 = 19,818 : x
  2. Step 2: Convert to fraction form
    10,701/19,818 = 19,818/x
  3. Step 3: Cross multiply
    10,701x = 19,818 × 19,818
  4. Step 4: Simplify right side
    10,701x = 392,753,124
  5. Step 5: Solve for x
    x = 392,753,124/10,701
  6. Step 6: Final answer
    x = 36,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.