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Finding the Third Proportional to 23,816 and 52,360

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Solution

The third proportional to 23,816 and 52,360 is: 115,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 52,360 = 52,360 : x
  2. Step 2: Convert to fraction form
    23,816/52,360 = 52,360/x
  3. Step 3: Cross multiply
    23,816x = 52,360 × 52,360
  4. Step 4: Simplify right side
    23,816x = 2,741,569,600
  5. Step 5: Solve for x
    x = 2,741,569,600/23,816
  6. Step 6: Final answer
    x = 115,114.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.