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Finding the Third Proportional to 44,633.25 and 59,234.63

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Solution

The third proportional to 44,633.25 and 59,234.63 is: 78,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633.25 : 59,234.63 = 59,234.63 : x
  2. Step 2: Convert to fraction form
    44,633.25/59,234.63 = 59,234.63/x
  3. Step 3: Cross multiply
    44,633.25x = 59,234.63 × 59,234.63
  4. Step 4: Simplify right side
    44,633.25x = 3,508,740,798.89
  5. Step 5: Solve for x
    x = 3,508,740,798.89/44,633.25
  6. Step 6: Final answer
    x = 78,612.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.