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Finding the Third Proportional to 23,818 and 52,338

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Solution

The third proportional to 23,818 and 52,338 is: 115,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818 : 52,338 = 52,338 : x
  2. Step 2: Convert to fraction form
    23,818/52,338 = 52,338/x
  3. Step 3: Cross multiply
    23,818x = 52,338 × 52,338
  4. Step 4: Simplify right side
    23,818x = 2,739,266,244
  5. Step 5: Solve for x
    x = 2,739,266,244/23,818
  6. Step 6: Final answer
    x = 115,008.24

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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.