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Finding the Third Proportional to 23,436 and 55,322

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Solution

The third proportional to 23,436 and 55,322 is: 130,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,436 : 55,322 = 55,322 : x
  2. Step 2: Convert to fraction form
    23,436/55,322 = 55,322/x
  3. Step 3: Cross multiply
    23,436x = 55,322 × 55,322
  4. Step 4: Simplify right side
    23,436x = 3,060,523,684
  5. Step 5: Solve for x
    x = 3,060,523,684/23,436
  6. Step 6: Final answer
    x = 130,590.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.