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Finding the Third Proportional to 24,582.94 and 37,770.75

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Solution

The third proportional to 24,582.94 and 37,770.75 is: 58,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.94 : 37,770.75 = 37,770.75 : x
  2. Step 2: Convert to fraction form
    24,582.94/37,770.75 = 37,770.75/x
  3. Step 3: Cross multiply
    24,582.94x = 37,770.75 × 37,770.75
  4. Step 4: Simplify right side
    24,582.94x = 1,426,629,555.56
  5. Step 5: Solve for x
    x = 1,426,629,555.56/24,582.94
  6. Step 6: Final answer
    x = 58,033.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.