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Finding the Third Proportional to 19,078 and 29,186

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Solution

The third proportional to 19,078 and 29,186 is: 44,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078 : 29,186 = 29,186 : x
  2. Step 2: Convert to fraction form
    19,078/29,186 = 29,186/x
  3. Step 3: Cross multiply
    19,078x = 29,186 × 29,186
  4. Step 4: Simplify right side
    19,078x = 851,822,596
  5. Step 5: Solve for x
    x = 851,822,596/19,078
  6. Step 6: Final answer
    x = 44,649.47

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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.