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Finding the Third Proportional to 23,346 and 50,395

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Solution

The third proportional to 23,346 and 50,395 is: 108,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346 : 50,395 = 50,395 : x
  2. Step 2: Convert to fraction form
    23,346/50,395 = 50,395/x
  3. Step 3: Cross multiply
    23,346x = 50,395 × 50,395
  4. Step 4: Simplify right side
    23,346x = 2,539,656,025
  5. Step 5: Solve for x
    x = 2,539,656,025/23,346
  6. Step 6: Final answer
    x = 108,783.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.