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Finding the Third Proportional to 46,462.36 and 73,846.69

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Solution

The third proportional to 46,462.36 and 73,846.69 is: 117,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462.36 : 73,846.69 = 73,846.69 : x
  2. Step 2: Convert to fraction form
    46,462.36/73,846.69 = 73,846.69/x
  3. Step 3: Cross multiply
    46,462.36x = 73,846.69 × 73,846.69
  4. Step 4: Simplify right side
    46,462.36x = 5,453,333,254.72
  5. Step 5: Solve for x
    x = 5,453,333,254.72/46,462.36
  6. Step 6: Final answer
    x = 117,370.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.