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Finding the Third Proportional to 30,732.75 and 46,991.81

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Solution

The third proportional to 30,732.75 and 46,991.81 is: 71,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.75 : 46,991.81 = 46,991.81 : x
  2. Step 2: Convert to fraction form
    30,732.75/46,991.81 = 46,991.81/x
  3. Step 3: Cross multiply
    30,732.75x = 46,991.81 × 46,991.81
  4. Step 4: Simplify right side
    30,732.75x = 2,208,230,442.04
  5. Step 5: Solve for x
    x = 2,208,230,442.04/30,732.75
  6. Step 6: Final answer
    x = 71,852.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.