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Finding the Third Proportional to 24,224 and 38,064

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Solution

The third proportional to 24,224 and 38,064 is: 59,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 38,064 = 38,064 : x
  2. Step 2: Convert to fraction form
    24,224/38,064 = 38,064/x
  3. Step 3: Cross multiply
    24,224x = 38,064 × 38,064
  4. Step 4: Simplify right side
    24,224x = 1,448,868,096
  5. Step 5: Solve for x
    x = 1,448,868,096/24,224
  6. Step 6: Final answer
    x = 59,811.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.