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Finding the Third Proportional to 47,934 and 67,036.50

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Solution

The third proportional to 47,934 and 67,036.50 is: 93,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,934 : 67,036.50 = 67,036.50 : x
  2. Step 2: Convert to fraction form
    47,934/67,036.50 = 67,036.50/x
  3. Step 3: Cross multiply
    47,934x = 67,036.50 × 67,036.50
  4. Step 4: Simplify right side
    47,934x = 4,493,892,332.25
  5. Step 5: Solve for x
    x = 4,493,892,332.25/47,934
  6. Step 6: Final answer
    x = 93,751.67

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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.