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Finding the Third Proportional to 16,541.44 and 36,056.81

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Solution

The third proportional to 16,541.44 and 36,056.81 is: 78,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.44 : 36,056.81 = 36,056.81 : x
  2. Step 2: Convert to fraction form
    16,541.44/36,056.81 = 36,056.81/x
  3. Step 3: Cross multiply
    16,541.44x = 36,056.81 × 36,056.81
  4. Step 4: Simplify right side
    16,541.44x = 1,300,093,727.66
  5. Step 5: Solve for x
    x = 1,300,093,727.66/16,541.44
  6. Step 6: Final answer
    x = 78,596.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.