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Finding the Third Proportional to 29,407 and 44,384

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Solution

The third proportional to 29,407 and 44,384 is: 66,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407 : 44,384 = 44,384 : x
  2. Step 2: Convert to fraction form
    29,407/44,384 = 44,384/x
  3. Step 3: Cross multiply
    29,407x = 44,384 × 44,384
  4. Step 4: Simplify right side
    29,407x = 1,969,939,456
  5. Step 5: Solve for x
    x = 1,969,939,456/29,407
  6. Step 6: Final answer
    x = 66,988.79

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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.