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Finding the Third Proportional to 31,691.25 and 46,058.63

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Solution

The third proportional to 31,691.25 and 46,058.63 is: 66,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.25 : 46,058.63 = 46,058.63 : x
  2. Step 2: Convert to fraction form
    31,691.25/46,058.63 = 46,058.63/x
  3. Step 3: Cross multiply
    31,691.25x = 46,058.63 × 46,058.63
  4. Step 4: Simplify right side
    31,691.25x = 2,121,396,936.89
  5. Step 5: Solve for x
    x = 2,121,396,936.89/31,691.25
  6. Step 6: Final answer
    x = 66,939.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.