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Finding the Third Proportional to 22,568 and 35,101

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Solution

The third proportional to 22,568 and 35,101 is: 54,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568 : 35,101 = 35,101 : x
  2. Step 2: Convert to fraction form
    22,568/35,101 = 35,101/x
  3. Step 3: Cross multiply
    22,568x = 35,101 × 35,101
  4. Step 4: Simplify right side
    22,568x = 1,232,080,201
  5. Step 5: Solve for x
    x = 1,232,080,201/22,568
  6. Step 6: Final answer
    x = 54,594.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.