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Finding the Third Proportional to 25,626 and 32,745

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Solution

The third proportional to 25,626 and 32,745 is: 41,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626 : 32,745 = 32,745 : x
  2. Step 2: Convert to fraction form
    25,626/32,745 = 32,745/x
  3. Step 3: Cross multiply
    25,626x = 32,745 × 32,745
  4. Step 4: Simplify right side
    25,626x = 1,072,235,025
  5. Step 5: Solve for x
    x = 1,072,235,025/25,626
  6. Step 6: Final answer
    x = 41,841.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.