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Finding the Third Proportional to 35,744 and 46,704

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Solution

The third proportional to 35,744 and 46,704 is: 61,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744 : 46,704 = 46,704 : x
  2. Step 2: Convert to fraction form
    35,744/46,704 = 46,704/x
  3. Step 3: Cross multiply
    35,744x = 46,704 × 46,704
  4. Step 4: Simplify right side
    35,744x = 2,181,263,616
  5. Step 5: Solve for x
    x = 2,181,263,616/35,744
  6. Step 6: Final answer
    x = 61,024.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.