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Finding the Third Proportional to 19,029 and 27,048

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Solution

The third proportional to 19,029 and 27,048 is: 38,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029 : 27,048 = 27,048 : x
  2. Step 2: Convert to fraction form
    19,029/27,048 = 27,048/x
  3. Step 3: Cross multiply
    19,029x = 27,048 × 27,048
  4. Step 4: Simplify right side
    19,029x = 731,594,304
  5. Step 5: Solve for x
    x = 731,594,304/19,029
  6. Step 6: Final answer
    x = 38,446.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.