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Finding the Third Proportional to 50,308.50 and 70,511.25

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Solution

The third proportional to 50,308.50 and 70,511.25 is: 98,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308.50 : 70,511.25 = 70,511.25 : x
  2. Step 2: Convert to fraction form
    50,308.50/70,511.25 = 70,511.25/x
  3. Step 3: Cross multiply
    50,308.50x = 70,511.25 × 70,511.25
  4. Step 4: Simplify right side
    50,308.50x = 4,971,836,376.56
  5. Step 5: Solve for x
    x = 4,971,836,376.56/50,308.50
  6. Step 6: Final answer
    x = 98,826.97

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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.