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Finding the Third Proportional to 35,691 and 46,944.75

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Solution

The third proportional to 35,691 and 46,944.75 is: 61,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,691 : 46,944.75 = 46,944.75 : x
  2. Step 2: Convert to fraction form
    35,691/46,944.75 = 46,944.75/x
  3. Step 3: Cross multiply
    35,691x = 46,944.75 × 46,944.75
  4. Step 4: Simplify right side
    35,691x = 2,203,809,552.56
  5. Step 5: Solve for x
    x = 2,203,809,552.56/35,691
  6. Step 6: Final answer
    x = 61,746.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.