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Finding the Third Proportional to 34,636 and 54,260

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Solution

The third proportional to 34,636 and 54,260 is: 85,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,636 : 54,260 = 54,260 : x
  2. Step 2: Convert to fraction form
    34,636/54,260 = 54,260/x
  3. Step 3: Cross multiply
    34,636x = 54,260 × 54,260
  4. Step 4: Simplify right side
    34,636x = 2,944,147,600
  5. Step 5: Solve for x
    x = 2,944,147,600/34,636
  6. Step 6: Final answer
    x = 85,002.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.