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Finding the Third Proportional to 23,822 and 52,252

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Solution

The third proportional to 23,822 and 52,252 is: 114,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822 : 52,252 = 52,252 : x
  2. Step 2: Convert to fraction form
    23,822/52,252 = 52,252/x
  3. Step 3: Cross multiply
    23,822x = 52,252 × 52,252
  4. Step 4: Simplify right side
    23,822x = 2,730,271,504
  5. Step 5: Solve for x
    x = 2,730,271,504/23,822
  6. Step 6: Final answer
    x = 114,611.35

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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.