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Finding the Third Proportional to 30,811.50 and 43,647.75

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Solution

The third proportional to 30,811.50 and 43,647.75 is: 61,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.50 : 43,647.75 = 43,647.75 : x
  2. Step 2: Convert to fraction form
    30,811.50/43,647.75 = 43,647.75/x
  3. Step 3: Cross multiply
    30,811.50x = 43,647.75 × 43,647.75
  4. Step 4: Simplify right side
    30,811.50x = 1,905,126,080.06
  5. Step 5: Solve for x
    x = 1,905,126,080.06/30,811.50
  6. Step 6: Final answer
    x = 61,831.66

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.