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Finding the Third Proportional to 30,454.31 and 64,240.59

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Solution

The third proportional to 30,454.31 and 64,240.59 is: 135,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.31 : 64,240.59 = 64,240.59 : x
  2. Step 2: Convert to fraction form
    30,454.31/64,240.59 = 64,240.59/x
  3. Step 3: Cross multiply
    30,454.31x = 64,240.59 × 64,240.59
  4. Step 4: Simplify right side
    30,454.31x = 4,126,853,885.35
  5. Step 5: Solve for x
    x = 4,126,853,885.35/30,454.31
  6. Step 6: Final answer
    x = 135,509.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.