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Finding the Third Proportional to 46,579.50 and 65,846

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Solution

The third proportional to 46,579.50 and 65,846 is: 93,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,579.50 : 65,846 = 65,846 : x
  2. Step 2: Convert to fraction form
    46,579.50/65,846 = 65,846/x
  3. Step 3: Cross multiply
    46,579.50x = 65,846 × 65,846
  4. Step 4: Simplify right side
    46,579.50x = 4,335,695,716
  5. Step 5: Solve for x
    x = 4,335,695,716/46,579.50
  6. Step 6: Final answer
    x = 93,081.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.