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Finding the Third Proportional to 46,149.75 and 65,993.06

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Solution

The third proportional to 46,149.75 and 65,993.06 is: 94,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,149.75 : 65,993.06 = 65,993.06 : x
  2. Step 2: Convert to fraction form
    46,149.75/65,993.06 = 65,993.06/x
  3. Step 3: Cross multiply
    46,149.75x = 65,993.06 × 65,993.06
  4. Step 4: Simplify right side
    46,149.75x = 4,355,084,298.13
  5. Step 5: Solve for x
    x = 4,355,084,298.13/46,149.75
  6. Step 6: Final answer
    x = 94,368.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.