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Finding the Third Proportional to 23,452 and 49,333

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Solution

The third proportional to 23,452 and 49,333 is: 103,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452 : 49,333 = 49,333 : x
  2. Step 2: Convert to fraction form
    23,452/49,333 = 49,333/x
  3. Step 3: Cross multiply
    23,452x = 49,333 × 49,333
  4. Step 4: Simplify right side
    23,452x = 2,433,744,889
  5. Step 5: Solve for x
    x = 2,433,744,889/23,452
  6. Step 6: Final answer
    x = 103,775.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.