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Finding the Third Proportional to 46,982 and 62,633

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Solution

The third proportional to 46,982 and 62,633 is: 83,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,982 : 62,633 = 62,633 : x
  2. Step 2: Convert to fraction form
    46,982/62,633 = 62,633/x
  3. Step 3: Cross multiply
    46,982x = 62,633 × 62,633
  4. Step 4: Simplify right side
    46,982x = 3,922,892,689
  5. Step 5: Solve for x
    x = 3,922,892,689/46,982
  6. Step 6: Final answer
    x = 83,497.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.