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Finding the Third Proportional to 25,024 and 36,568

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Solution

The third proportional to 25,024 and 36,568 is: 53,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024 : 36,568 = 36,568 : x
  2. Step 2: Convert to fraction form
    25,024/36,568 = 36,568/x
  3. Step 3: Cross multiply
    25,024x = 36,568 × 36,568
  4. Step 4: Simplify right side
    25,024x = 1,337,218,624
  5. Step 5: Solve for x
    x = 1,337,218,624/25,024
  6. Step 6: Final answer
    x = 53,437.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.