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Finding the Third Proportional to 29,745.75 and 46,058.75

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Solution

The third proportional to 29,745.75 and 46,058.75 is: 71,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745.75 : 46,058.75 = 46,058.75 : x
  2. Step 2: Convert to fraction form
    29,745.75/46,058.75 = 46,058.75/x
  3. Step 3: Cross multiply
    29,745.75x = 46,058.75 × 46,058.75
  4. Step 4: Simplify right side
    29,745.75x = 2,121,408,451.56
  5. Step 5: Solve for x
    x = 2,121,408,451.56/29,745.75
  6. Step 6: Final answer
    x = 71,318.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.