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Finding the Third Proportional to 24,448 and 52,064

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Solution

The third proportional to 24,448 and 52,064 is: 110,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 52,064 = 52,064 : x
  2. Step 2: Convert to fraction form
    24,448/52,064 = 52,064/x
  3. Step 3: Cross multiply
    24,448x = 52,064 × 52,064
  4. Step 4: Simplify right side
    24,448x = 2,710,660,096
  5. Step 5: Solve for x
    x = 2,710,660,096/24,448
  6. Step 6: Final answer
    x = 110,874.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.