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Finding the Third Proportional to 57,495.94 and 80,569.13

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Solution

The third proportional to 57,495.94 and 80,569.13 is: 112,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,495.94 : 80,569.13 = 80,569.13 : x
  2. Step 2: Convert to fraction form
    57,495.94/80,569.13 = 80,569.13/x
  3. Step 3: Cross multiply
    57,495.94x = 80,569.13 × 80,569.13
  4. Step 4: Simplify right side
    57,495.94x = 6,491,383,903.27
  5. Step 5: Solve for x
    x = 6,491,383,903.27/57,495.94
  6. Step 6: Final answer
    x = 112,901.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.