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Finding the Third Proportional to 24,699.94 and 36,499.78

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Solution

The third proportional to 24,699.94 and 36,499.78 is: 53,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.94 : 36,499.78 = 36,499.78 : x
  2. Step 2: Convert to fraction form
    24,699.94/36,499.78 = 36,499.78/x
  3. Step 3: Cross multiply
    24,699.94x = 36,499.78 × 36,499.78
  4. Step 4: Simplify right side
    24,699.94x = 1,332,234,031.30
  5. Step 5: Solve for x
    x = 1,332,234,031.30/24,699.94
  6. Step 6: Final answer
    x = 53,936.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.