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Finding the Third Proportional to 46,723 and 73,431

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Solution

The third proportional to 46,723 and 73,431 is: 115,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,723 : 73,431 = 73,431 : x
  2. Step 2: Convert to fraction form
    46,723/73,431 = 73,431/x
  3. Step 3: Cross multiply
    46,723x = 73,431 × 73,431
  4. Step 4: Simplify right side
    46,723x = 5,392,111,761
  5. Step 5: Solve for x
    x = 5,392,111,761/46,723
  6. Step 6: Final answer
    x = 115,405.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.