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Finding the Third Proportional to 24,448 and 33,014

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Solution

The third proportional to 24,448 and 33,014 is: 44,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 33,014 = 33,014 : x
  2. Step 2: Convert to fraction form
    24,448/33,014 = 33,014/x
  3. Step 3: Cross multiply
    24,448x = 33,014 × 33,014
  4. Step 4: Simplify right side
    24,448x = 1,089,924,196
  5. Step 5: Solve for x
    x = 1,089,924,196/24,448
  6. Step 6: Final answer
    x = 44,581.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.