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Finding the Third Proportional to 46,408.36 and 69,714.84

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Solution

The third proportional to 46,408.36 and 69,714.84 is: 104,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408.36 : 69,714.84 = 69,714.84 : x
  2. Step 2: Convert to fraction form
    46,408.36/69,714.84 = 69,714.84/x
  3. Step 3: Cross multiply
    46,408.36x = 69,714.84 × 69,714.84
  4. Step 4: Simplify right side
    46,408.36x = 4,860,159,439.09
  5. Step 5: Solve for x
    x = 4,860,159,439.09/46,408.36
  6. Step 6: Final answer
    x = 104,725.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.