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Finding the Third Proportional to 7,826 and 18,462

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Solution

The third proportional to 7,826 and 18,462 is: 43,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826 : 18,462 = 18,462 : x
  2. Step 2: Convert to fraction form
    7,826/18,462 = 18,462/x
  3. Step 3: Cross multiply
    7,826x = 18,462 × 18,462
  4. Step 4: Simplify right side
    7,826x = 340,845,444
  5. Step 5: Solve for x
    x = 340,845,444/7,826
  6. Step 6: Final answer
    x = 43,552.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.