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Finding the Third Proportional to 46,214 and 69,649

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Solution

The third proportional to 46,214 and 69,649 is: 104,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,214 : 69,649 = 69,649 : x
  2. Step 2: Convert to fraction form
    46,214/69,649 = 69,649/x
  3. Step 3: Cross multiply
    46,214x = 69,649 × 69,649
  4. Step 4: Simplify right side
    46,214x = 4,850,983,201
  5. Step 5: Solve for x
    x = 4,850,983,201/46,214
  6. Step 6: Final answer
    x = 104,967.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.