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Finding the Third Proportional to 62,837 and 82,590

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Solution

The third proportional to 62,837 and 82,590 is: 108,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,837 : 82,590 = 82,590 : x
  2. Step 2: Convert to fraction form
    62,837/82,590 = 82,590/x
  3. Step 3: Cross multiply
    62,837x = 82,590 × 82,590
  4. Step 4: Simplify right side
    62,837x = 6,821,108,100
  5. Step 5: Solve for x
    x = 6,821,108,100/62,837
  6. Step 6: Final answer
    x = 108,552.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.