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Finding the Third Proportional to 10,634 and 21,700

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Solution

The third proportional to 10,634 and 21,700 is: 44,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634 : 21,700 = 21,700 : x
  2. Step 2: Convert to fraction form
    10,634/21,700 = 21,700/x
  3. Step 3: Cross multiply
    10,634x = 21,700 × 21,700
  4. Step 4: Simplify right side
    10,634x = 470,890,000
  5. Step 5: Solve for x
    x = 470,890,000/10,634
  6. Step 6: Final answer
    x = 44,281.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.