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Finding the Third Proportional to 19,568 and 27,705

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Solution

The third proportional to 19,568 and 27,705 is: 39,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568 : 27,705 = 27,705 : x
  2. Step 2: Convert to fraction form
    19,568/27,705 = 27,705/x
  3. Step 3: Cross multiply
    19,568x = 27,705 × 27,705
  4. Step 4: Simplify right side
    19,568x = 767,567,025
  5. Step 5: Solve for x
    x = 767,567,025/19,568
  6. Step 6: Final answer
    x = 39,225.62

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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.