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Finding the Third Proportional to 47,020.50 and 65,913.75

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Solution

The third proportional to 47,020.50 and 65,913.75 is: 92,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020.50 : 65,913.75 = 65,913.75 : x
  2. Step 2: Convert to fraction form
    47,020.50/65,913.75 = 65,913.75/x
  3. Step 3: Cross multiply
    47,020.50x = 65,913.75 × 65,913.75
  4. Step 4: Simplify right side
    47,020.50x = 4,344,622,439.06
  5. Step 5: Solve for x
    x = 4,344,622,439.06/47,020.50
  6. Step 6: Final answer
    x = 92,398.47

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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.