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Finding the Third Proportional to 41,931 and 65,670.75

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Solution

The third proportional to 41,931 and 65,670.75 is: 102,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,931 : 65,670.75 = 65,670.75 : x
  2. Step 2: Convert to fraction form
    41,931/65,670.75 = 65,670.75/x
  3. Step 3: Cross multiply
    41,931x = 65,670.75 × 65,670.75
  4. Step 4: Simplify right side
    41,931x = 4,312,647,405.56
  5. Step 5: Solve for x
    x = 4,312,647,405.56/41,931
  6. Step 6: Final answer
    x = 102,851.05

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Why These Related Problems?

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