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Finding the Third Proportional to 12,640.43 and 28,086.64

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Solution

The third proportional to 12,640.43 and 28,086.64 is: 62,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.43 : 28,086.64 = 28,086.64 : x
  2. Step 2: Convert to fraction form
    12,640.43/28,086.64 = 28,086.64/x
  3. Step 3: Cross multiply
    12,640.43x = 28,086.64 × 28,086.64
  4. Step 4: Simplify right side
    12,640.43x = 788,859,601.02
  5. Step 5: Solve for x
    x = 788,859,601.02/12,640.43
  6. Step 6: Final answer
    x = 62,407.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.