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Finding the Third Proportional to 9,730 and 20,756

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Solution

The third proportional to 9,730 and 20,756 is: 44,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730 : 20,756 = 20,756 : x
  2. Step 2: Convert to fraction form
    9,730/20,756 = 20,756/x
  3. Step 3: Cross multiply
    9,730x = 20,756 × 20,756
  4. Step 4: Simplify right side
    9,730x = 430,811,536
  5. Step 5: Solve for x
    x = 430,811,536/9,730
  6. Step 6: Final answer
    x = 44,276.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.