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Finding the Third Proportional to 24,240 and 35,568

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Solution

The third proportional to 24,240 and 35,568 is: 52,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,240 : 35,568 = 35,568 : x
  2. Step 2: Convert to fraction form
    24,240/35,568 = 35,568/x
  3. Step 3: Cross multiply
    24,240x = 35,568 × 35,568
  4. Step 4: Simplify right side
    24,240x = 1,265,082,624
  5. Step 5: Solve for x
    x = 1,265,082,624/24,240
  6. Step 6: Final answer
    x = 52,189.88

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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.