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Finding the Third Proportional to 24,274.69 and 37,930.78

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Solution

The third proportional to 24,274.69 and 37,930.78 is: 59,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.69 : 37,930.78 = 37,930.78 : x
  2. Step 2: Convert to fraction form
    24,274.69/37,930.78 = 37,930.78/x
  3. Step 3: Cross multiply
    24,274.69x = 37,930.78 × 37,930.78
  4. Step 4: Simplify right side
    24,274.69x = 1,438,744,166.24
  5. Step 5: Solve for x
    x = 1,438,744,166.24/24,274.69
  6. Step 6: Final answer
    x = 59,269.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.