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Finding the Third Proportional to 29,409 and 44,388

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Solution

The third proportional to 29,409 and 44,388 is: 66,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409 : 44,388 = 44,388 : x
  2. Step 2: Convert to fraction form
    29,409/44,388 = 44,388/x
  3. Step 3: Cross multiply
    29,409x = 44,388 × 44,388
  4. Step 4: Simplify right side
    29,409x = 1,970,294,544
  5. Step 5: Solve for x
    x = 1,970,294,544/29,409
  6. Step 6: Final answer
    x = 66,996.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.