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Finding the Third Proportional to 16,364.53 and 24,770.81

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Solution

The third proportional to 16,364.53 and 24,770.81 is: 37,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.53 : 24,770.81 = 24,770.81 : x
  2. Step 2: Convert to fraction form
    16,364.53/24,770.81 = 24,770.81/x
  3. Step 3: Cross multiply
    16,364.53x = 24,770.81 × 24,770.81
  4. Step 4: Simplify right side
    16,364.53x = 613,593,151.91
  5. Step 5: Solve for x
    x = 613,593,151.91/16,364.53
  6. Step 6: Final answer
    x = 37,495.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.