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Finding the Third Proportional to 19,224 and 29,619

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Solution

The third proportional to 19,224 and 29,619 is: 45,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 29,619 = 29,619 : x
  2. Step 2: Convert to fraction form
    19,224/29,619 = 29,619/x
  3. Step 3: Cross multiply
    19,224x = 29,619 × 29,619
  4. Step 4: Simplify right side
    19,224x = 877,285,161
  5. Step 5: Solve for x
    x = 877,285,161/19,224
  6. Step 6: Final answer
    x = 45,634.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.