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Finding the Third Proportional to 19,380 and 43,143

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Solution

The third proportional to 19,380 and 43,143 is: 96,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,380 : 43,143 = 43,143 : x
  2. Step 2: Convert to fraction form
    19,380/43,143 = 43,143/x
  3. Step 3: Cross multiply
    19,380x = 43,143 × 43,143
  4. Step 4: Simplify right side
    19,380x = 1,861,318,449
  5. Step 5: Solve for x
    x = 1,861,318,449/19,380
  6. Step 6: Final answer
    x = 96,043.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.