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Finding the Third Proportional to 43,989.75 and 70,830

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Solution

The third proportional to 43,989.75 and 70,830 is: 114,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,989.75 : 70,830 = 70,830 : x
  2. Step 2: Convert to fraction form
    43,989.75/70,830 = 70,830/x
  3. Step 3: Cross multiply
    43,989.75x = 70,830 × 70,830
  4. Step 4: Simplify right side
    43,989.75x = 5,016,888,900
  5. Step 5: Solve for x
    x = 5,016,888,900/43,989.75
  6. Step 6: Final answer
    x = 114,046.77

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.