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Finding the Third Proportional to 24,360 and 33,010

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Solution

The third proportional to 24,360 and 33,010 is: 44,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360 : 33,010 = 33,010 : x
  2. Step 2: Convert to fraction form
    24,360/33,010 = 33,010/x
  3. Step 3: Cross multiply
    24,360x = 33,010 × 33,010
  4. Step 4: Simplify right side
    24,360x = 1,089,660,100
  5. Step 5: Solve for x
    x = 1,089,660,100/24,360
  6. Step 6: Final answer
    x = 44,731.53

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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.