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Finding the Third Proportional to 25,568 and 37,621

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Solution

The third proportional to 25,568 and 37,621 is: 55,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568 : 37,621 = 37,621 : x
  2. Step 2: Convert to fraction form
    25,568/37,621 = 37,621/x
  3. Step 3: Cross multiply
    25,568x = 37,621 × 37,621
  4. Step 4: Simplify right side
    25,568x = 1,415,339,641
  5. Step 5: Solve for x
    x = 1,415,339,641/25,568
  6. Step 6: Final answer
    x = 55,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.