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Finding the Third Proportional to 46,506.38 and 71,879.63

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Solution

The third proportional to 46,506.38 and 71,879.63 is: 111,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.38 : 71,879.63 = 71,879.63 : x
  2. Step 2: Convert to fraction form
    46,506.38/71,879.63 = 71,879.63/x
  3. Step 3: Cross multiply
    46,506.38x = 71,879.63 × 71,879.63
  4. Step 4: Simplify right side
    46,506.38x = 5,166,680,490.14
  5. Step 5: Solve for x
    x = 5,166,680,490.14/46,506.38
  6. Step 6: Final answer
    x = 111,096.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.