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Finding the Third Proportional to 30,906.56 and 43,405.88

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Solution

The third proportional to 30,906.56 and 43,405.88 is: 60,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.56 : 43,405.88 = 43,405.88 : x
  2. Step 2: Convert to fraction form
    30,906.56/43,405.88 = 43,405.88/x
  3. Step 3: Cross multiply
    30,906.56x = 43,405.88 × 43,405.88
  4. Step 4: Simplify right side
    30,906.56x = 1,884,069,984.52
  5. Step 5: Solve for x
    x = 1,884,069,984.52/30,906.56
  6. Step 6: Final answer
    x = 60,960.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.