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Finding the Third Proportional to 40,650.75 and 63,858

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Solution

The third proportional to 40,650.75 and 63,858 is: 100,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,650.75 : 63,858 = 63,858 : x
  2. Step 2: Convert to fraction form
    40,650.75/63,858 = 63,858/x
  3. Step 3: Cross multiply
    40,650.75x = 63,858 × 63,858
  4. Step 4: Simplify right side
    40,650.75x = 4,077,844,164
  5. Step 5: Solve for x
    x = 4,077,844,164/40,650.75
  6. Step 6: Final answer
    x = 100,314.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.