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Finding the Third Proportional to 19,134 and 28,977

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Solution

The third proportional to 19,134 and 28,977 is: 43,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,134 : 28,977 = 28,977 : x
  2. Step 2: Convert to fraction form
    19,134/28,977 = 28,977/x
  3. Step 3: Cross multiply
    19,134x = 28,977 × 28,977
  4. Step 4: Simplify right side
    19,134x = 839,666,529
  5. Step 5: Solve for x
    x = 839,666,529/19,134
  6. Step 6: Final answer
    x = 43,883.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.