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Finding the Third Proportional to 31,274.25 and 46,083.75

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Solution

The third proportional to 31,274.25 and 46,083.75 is: 67,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.25 : 46,083.75 = 46,083.75 : x
  2. Step 2: Convert to fraction form
    31,274.25/46,083.75 = 46,083.75/x
  3. Step 3: Cross multiply
    31,274.25x = 46,083.75 × 46,083.75
  4. Step 4: Simplify right side
    31,274.25x = 2,123,712,014.06
  5. Step 5: Solve for x
    x = 2,123,712,014.06/31,274.25
  6. Step 6: Final answer
    x = 67,906.09

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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.