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Finding the Third Proportional to 31,791.38 and 46,712.25

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Solution

The third proportional to 31,791.38 and 46,712.25 is: 68,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.38 : 46,712.25 = 46,712.25 : x
  2. Step 2: Convert to fraction form
    31,791.38/46,712.25 = 46,712.25/x
  3. Step 3: Cross multiply
    31,791.38x = 46,712.25 × 46,712.25
  4. Step 4: Simplify right side
    31,791.38x = 2,182,034,300.06
  5. Step 5: Solve for x
    x = 2,182,034,300.06/31,791.38
  6. Step 6: Final answer
    x = 68,636.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.