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Finding the Third Proportional to 35,737 and 46,993

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Solution

The third proportional to 35,737 and 46,993 is: 61,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737 : 46,993 = 46,993 : x
  2. Step 2: Convert to fraction form
    35,737/46,993 = 46,993/x
  3. Step 3: Cross multiply
    35,737x = 46,993 × 46,993
  4. Step 4: Simplify right side
    35,737x = 2,208,342,049
  5. Step 5: Solve for x
    x = 2,208,342,049/35,737
  6. Step 6: Final answer
    x = 61,794.28

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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.