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Finding the Third Proportional to 46,723 and 67,162.50

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Solution

The third proportional to 46,723 and 67,162.50 is: 96,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,723 : 67,162.50 = 67,162.50 : x
  2. Step 2: Convert to fraction form
    46,723/67,162.50 = 67,162.50/x
  3. Step 3: Cross multiply
    46,723x = 67,162.50 × 67,162.50
  4. Step 4: Simplify right side
    46,723x = 4,510,801,406.25
  5. Step 5: Solve for x
    x = 4,510,801,406.25/46,723
  6. Step 6: Final answer
    x = 96,543.49

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.