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Finding the Third Proportional to 29,958.75 and 46,994.63

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Solution

The third proportional to 29,958.75 and 46,994.63 is: 73,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,958.75 : 46,994.63 = 46,994.63 : x
  2. Step 2: Convert to fraction form
    29,958.75/46,994.63 = 46,994.63/x
  3. Step 3: Cross multiply
    29,958.75x = 46,994.63 × 46,994.63
  4. Step 4: Simplify right side
    29,958.75x = 2,208,494,778.89
  5. Step 5: Solve for x
    x = 2,208,494,778.89/29,958.75
  6. Step 6: Final answer
    x = 73,717.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.