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Finding the Third Proportional to 41,505.75 and 63,881

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Solution

The third proportional to 41,505.75 and 63,881 is: 98,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505.75 : 63,881 = 63,881 : x
  2. Step 2: Convert to fraction form
    41,505.75/63,881 = 63,881/x
  3. Step 3: Cross multiply
    41,505.75x = 63,881 × 63,881
  4. Step 4: Simplify right side
    41,505.75x = 4,080,782,161
  5. Step 5: Solve for x
    x = 4,080,782,161/41,505.75
  6. Step 6: Final answer
    x = 98,318.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.