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Finding the Third Proportional to 47,535.75 and 71,155.50

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Solution

The third proportional to 47,535.75 and 71,155.50 is: 106,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535.75 : 71,155.50 = 71,155.50 : x
  2. Step 2: Convert to fraction form
    47,535.75/71,155.50 = 71,155.50/x
  3. Step 3: Cross multiply
    47,535.75x = 71,155.50 × 71,155.50
  4. Step 4: Simplify right side
    47,535.75x = 5,063,105,180.25
  5. Step 5: Solve for x
    x = 5,063,105,180.25/47,535.75
  6. Step 6: Final answer
    x = 106,511.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.