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Finding the Third Proportional to 41,048 and 63,684

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Solution

The third proportional to 41,048 and 63,684 is: 98,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,048 : 63,684 = 63,684 : x
  2. Step 2: Convert to fraction form
    41,048/63,684 = 63,684/x
  3. Step 3: Cross multiply
    41,048x = 63,684 × 63,684
  4. Step 4: Simplify right side
    41,048x = 4,055,651,856
  5. Step 5: Solve for x
    x = 4,055,651,856/41,048
  6. Step 6: Final answer
    x = 98,802.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.