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Finding the Third Proportional to 19,674 and 29,447

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Solution

The third proportional to 19,674 and 29,447 is: 44,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 29,447 = 29,447 : x
  2. Step 2: Convert to fraction form
    19,674/29,447 = 29,447/x
  3. Step 3: Cross multiply
    19,674x = 29,447 × 29,447
  4. Step 4: Simplify right side
    19,674x = 867,125,809
  5. Step 5: Solve for x
    x = 867,125,809/19,674
  6. Step 6: Final answer
    x = 44,074.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.