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Finding the Third Proportional to 46,663.50 and 71,766

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Solution

The third proportional to 46,663.50 and 71,766 is: 110,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,663.50 : 71,766 = 71,766 : x
  2. Step 2: Convert to fraction form
    46,663.50/71,766 = 71,766/x
  3. Step 3: Cross multiply
    46,663.50x = 71,766 × 71,766
  4. Step 4: Simplify right side
    46,663.50x = 5,150,358,756
  5. Step 5: Solve for x
    x = 5,150,358,756/46,663.50
  6. Step 6: Final answer
    x = 110,372.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.