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Finding the Third Proportional to 24,930 and 37,310.63

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Solution

The third proportional to 24,930 and 37,310.63 is: 55,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930 : 37,310.63 = 37,310.63 : x
  2. Step 2: Convert to fraction form
    24,930/37,310.63 = 37,310.63/x
  3. Step 3: Cross multiply
    24,930x = 37,310.63 × 37,310.63
  4. Step 4: Simplify right side
    24,930x = 1,392,082,737.89
  5. Step 5: Solve for x
    x = 1,392,082,737.89/24,930
  6. Step 6: Final answer
    x = 55,839.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.