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Finding the Third Proportional to 32,568 and 43,020

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Solution

The third proportional to 32,568 and 43,020 is: 56,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568 : 43,020 = 43,020 : x
  2. Step 2: Convert to fraction form
    32,568/43,020 = 43,020/x
  3. Step 3: Cross multiply
    32,568x = 43,020 × 43,020
  4. Step 4: Simplify right side
    32,568x = 1,850,720,400
  5. Step 5: Solve for x
    x = 1,850,720,400/32,568
  6. Step 6: Final answer
    x = 56,826.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.