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Finding the Third Proportional to 13,550.63 and 32,828.63

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Solution

The third proportional to 13,550.63 and 32,828.63 is: 79,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.63 : 32,828.63 = 32,828.63 : x
  2. Step 2: Convert to fraction form
    13,550.63/32,828.63 = 32,828.63/x
  3. Step 3: Cross multiply
    13,550.63x = 32,828.63 × 32,828.63
  4. Step 4: Simplify right side
    13,550.63x = 1,077,718,619.39
  5. Step 5: Solve for x
    x = 1,077,718,619.39/13,550.63
  6. Step 6: Final answer
    x = 79,532.76

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.