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Finding the Third Proportional to 24,674.63 and 33,731.44

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Solution

The third proportional to 24,674.63 and 33,731.44 is: 46,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.63 : 33,731.44 = 33,731.44 : x
  2. Step 2: Convert to fraction form
    24,674.63/33,731.44 = 33,731.44/x
  3. Step 3: Cross multiply
    24,674.63x = 33,731.44 × 33,731.44
  4. Step 4: Simplify right side
    24,674.63x = 1,137,809,875.82
  5. Step 5: Solve for x
    x = 1,137,809,875.82/24,674.63
  6. Step 6: Final answer
    x = 46,112.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.