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Finding the Third Proportional to 23,816 and 52,240

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Solution

The third proportional to 23,816 and 52,240 is: 114,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 52,240 = 52,240 : x
  2. Step 2: Convert to fraction form
    23,816/52,240 = 52,240/x
  3. Step 3: Cross multiply
    23,816x = 52,240 × 52,240
  4. Step 4: Simplify right side
    23,816x = 2,729,017,600
  5. Step 5: Solve for x
    x = 2,729,017,600/23,816
  6. Step 6: Final answer
    x = 114,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.