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Finding the Third Proportional to 19,816 and 39,048

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Solution

The third proportional to 19,816 and 39,048 is: 76,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816 : 39,048 = 39,048 : x
  2. Step 2: Convert to fraction form
    19,816/39,048 = 39,048/x
  3. Step 3: Cross multiply
    19,816x = 39,048 × 39,048
  4. Step 4: Simplify right side
    19,816x = 1,524,746,304
  5. Step 5: Solve for x
    x = 1,524,746,304/19,816
  6. Step 6: Final answer
    x = 76,945.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.