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Finding the Third Proportional to 19,738 and 29,377

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Solution

The third proportional to 19,738 and 29,377 is: 43,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738 : 29,377 = 29,377 : x
  2. Step 2: Convert to fraction form
    19,738/29,377 = 29,377/x
  3. Step 3: Cross multiply
    19,738x = 29,377 × 29,377
  4. Step 4: Simplify right side
    19,738x = 863,008,129
  5. Step 5: Solve for x
    x = 863,008,129/19,738
  6. Step 6: Final answer
    x = 43,723.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.