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Finding the Third Proportional to 19,029 and 39,384

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Solution

The third proportional to 19,029 and 39,384 is: 81,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029 : 39,384 = 39,384 : x
  2. Step 2: Convert to fraction form
    19,029/39,384 = 39,384/x
  3. Step 3: Cross multiply
    19,029x = 39,384 × 39,384
  4. Step 4: Simplify right side
    19,029x = 1,551,099,456
  5. Step 5: Solve for x
    x = 1,551,099,456/19,029
  6. Step 6: Final answer
    x = 81,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.