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Finding the Third Proportional to 46,704 and 71,456

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Solution

The third proportional to 46,704 and 71,456 is: 109,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704 : 71,456 = 71,456 : x
  2. Step 2: Convert to fraction form
    46,704/71,456 = 71,456/x
  3. Step 3: Cross multiply
    46,704x = 71,456 × 71,456
  4. Step 4: Simplify right side
    46,704x = 5,105,959,936
  5. Step 5: Solve for x
    x = 5,105,959,936/46,704
  6. Step 6: Final answer
    x = 109,325.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.