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Finding the Third Proportional to 12,730.92 and 16,634.11

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Solution

The third proportional to 12,730.92 and 16,634.11 is: 21,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.92 : 16,634.11 = 16,634.11 : x
  2. Step 2: Convert to fraction form
    12,730.92/16,634.11 = 16,634.11/x
  3. Step 3: Cross multiply
    12,730.92x = 16,634.11 × 16,634.11
  4. Step 4: Simplify right side
    12,730.92x = 276,693,594.70
  5. Step 5: Solve for x
    x = 276,693,594.70/12,730.92
  6. Step 6: Final answer
    x = 21,733.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.