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Finding the Third Proportional to 24,797.25 and 33,732

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Solution

The third proportional to 24,797.25 and 33,732 is: 45,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.25 : 33,732 = 33,732 : x
  2. Step 2: Convert to fraction form
    24,797.25/33,732 = 33,732/x
  3. Step 3: Cross multiply
    24,797.25x = 33,732 × 33,732
  4. Step 4: Simplify right side
    24,797.25x = 1,137,847,824
  5. Step 5: Solve for x
    x = 1,137,847,824/24,797.25
  6. Step 6: Final answer
    x = 45,886.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.