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Finding the Third Proportional to 46,046.25 and 71,103.38

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Solution

The third proportional to 46,046.25 and 71,103.38 is: 109,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046.25 : 71,103.38 = 71,103.38 : x
  2. Step 2: Convert to fraction form
    46,046.25/71,103.38 = 71,103.38/x
  3. Step 3: Cross multiply
    46,046.25x = 71,103.38 × 71,103.38
  4. Step 4: Simplify right side
    46,046.25x = 5,055,689,936.39
  5. Step 5: Solve for x
    x = 5,055,689,936.39/46,046.25
  6. Step 6: Final answer
    x = 109,795.91

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