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Finding the Third Proportional to 10,664 and 19,756

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Solution

The third proportional to 10,664 and 19,756 is: 36,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664 : 19,756 = 19,756 : x
  2. Step 2: Convert to fraction form
    10,664/19,756 = 19,756/x
  3. Step 3: Cross multiply
    10,664x = 19,756 × 19,756
  4. Step 4: Simplify right side
    10,664x = 390,299,536
  5. Step 5: Solve for x
    x = 390,299,536/10,664
  6. Step 6: Final answer
    x = 36,599.73

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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.