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Finding the Third Proportional to 24,975 and 33,408

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Solution

The third proportional to 24,975 and 33,408 is: 44,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975 : 33,408 = 33,408 : x
  2. Step 2: Convert to fraction form
    24,975/33,408 = 33,408/x
  3. Step 3: Cross multiply
    24,975x = 33,408 × 33,408
  4. Step 4: Simplify right side
    24,975x = 1,116,094,464
  5. Step 5: Solve for x
    x = 1,116,094,464/24,975
  6. Step 6: Final answer
    x = 44,688.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.