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Finding the Third Proportional to 46,933 and 73,279.50

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Solution

The third proportional to 46,933 and 73,279.50 is: 114,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,933 : 73,279.50 = 73,279.50 : x
  2. Step 2: Convert to fraction form
    46,933/73,279.50 = 73,279.50/x
  3. Step 3: Cross multiply
    46,933x = 73,279.50 × 73,279.50
  4. Step 4: Simplify right side
    46,933x = 5,369,885,120.25
  5. Step 5: Solve for x
    x = 5,369,885,120.25/46,933
  6. Step 6: Final answer
    x = 114,415.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.