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Finding the Third Proportional to 19,362 and 28,966

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Solution

The third proportional to 19,362 and 28,966 is: 43,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,362 : 28,966 = 28,966 : x
  2. Step 2: Convert to fraction form
    19,362/28,966 = 28,966/x
  3. Step 3: Cross multiply
    19,362x = 28,966 × 28,966
  4. Step 4: Simplify right side
    19,362x = 839,029,156
  5. Step 5: Solve for x
    x = 839,029,156/19,362
  6. Step 6: Final answer
    x = 43,333.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.