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Finding the Third Proportional to 19,470 and 29,229

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Solution

The third proportional to 19,470 and 29,229 is: 43,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 29,229 = 29,229 : x
  2. Step 2: Convert to fraction form
    19,470/29,229 = 29,229/x
  3. Step 3: Cross multiply
    19,470x = 29,229 × 29,229
  4. Step 4: Simplify right side
    19,470x = 854,334,441
  5. Step 5: Solve for x
    x = 854,334,441/19,470
  6. Step 6: Final answer
    x = 43,879.53

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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.