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Finding the Third Proportional to 46,217.25 and 65,471.63

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Solution

The third proportional to 46,217.25 and 65,471.63 is: 92,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,217.25 : 65,471.63 = 65,471.63 : x
  2. Step 2: Convert to fraction form
    46,217.25/65,471.63 = 65,471.63/x
  3. Step 3: Cross multiply
    46,217.25x = 65,471.63 × 65,471.63
  4. Step 4: Simplify right side
    46,217.25x = 4,286,533,680.14
  5. Step 5: Solve for x
    x = 4,286,533,680.14/46,217.25
  6. Step 6: Final answer
    x = 92,747.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.