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Finding the Third Proportional to 23,346 and 30,644

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Solution

The third proportional to 23,346 and 30,644 is: 40,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346 : 30,644 = 30,644 : x
  2. Step 2: Convert to fraction form
    23,346/30,644 = 30,644/x
  3. Step 3: Cross multiply
    23,346x = 30,644 × 30,644
  4. Step 4: Simplify right side
    23,346x = 939,054,736
  5. Step 5: Solve for x
    x = 939,054,736/23,346
  6. Step 6: Final answer
    x = 40,223.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.