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Finding the Third Proportional to 24,360 and 33,008

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Solution

The third proportional to 24,360 and 33,008 is: 44,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360 : 33,008 = 33,008 : x
  2. Step 2: Convert to fraction form
    24,360/33,008 = 33,008/x
  3. Step 3: Cross multiply
    24,360x = 33,008 × 33,008
  4. Step 4: Simplify right side
    24,360x = 1,089,528,064
  5. Step 5: Solve for x
    x = 1,089,528,064/24,360
  6. Step 6: Final answer
    x = 44,726.11

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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.