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Finding the Third Proportional to 46,097.15 and 71,193.19

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Solution

The third proportional to 46,097.15 and 71,193.19 is: 109,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,097.15 : 71,193.19 = 71,193.19 : x
  2. Step 2: Convert to fraction form
    46,097.15/71,193.19 = 71,193.19/x
  3. Step 3: Cross multiply
    46,097.15x = 71,193.19 × 71,193.19
  4. Step 4: Simplify right side
    46,097.15x = 5,068,469,737.84
  5. Step 5: Solve for x
    x = 5,068,469,737.84/46,097.15
  6. Step 6: Final answer
    x = 109,951.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.