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Finding the Third Proportional to 19,102 and 29,219

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Solution

The third proportional to 19,102 and 29,219 is: 44,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102 : 29,219 = 29,219 : x
  2. Step 2: Convert to fraction form
    19,102/29,219 = 29,219/x
  3. Step 3: Cross multiply
    19,102x = 29,219 × 29,219
  4. Step 4: Simplify right side
    19,102x = 853,749,961
  5. Step 5: Solve for x
    x = 853,749,961/19,102
  6. Step 6: Final answer
    x = 44,694.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.