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Finding the Third Proportional to 10,767.66 and 22,813.88

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Solution

The third proportional to 10,767.66 and 22,813.88 is: 48,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.66 : 22,813.88 = 22,813.88 : x
  2. Step 2: Convert to fraction form
    10,767.66/22,813.88 = 22,813.88/x
  3. Step 3: Cross multiply
    10,767.66x = 22,813.88 × 22,813.88
  4. Step 4: Simplify right side
    10,767.66x = 520,472,892.52
  5. Step 5: Solve for x
    x = 520,472,892.52/10,767.66
  6. Step 6: Final answer
    x = 48,336.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.