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Finding the Third Proportional to 41,030 and 96,802

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Solution

The third proportional to 41,030 and 96,802 is: 228,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,030 : 96,802 = 96,802 : x
  2. Step 2: Convert to fraction form
    41,030/96,802 = 96,802/x
  3. Step 3: Cross multiply
    41,030x = 96,802 × 96,802
  4. Step 4: Simplify right side
    41,030x = 9,370,627,204
  5. Step 5: Solve for x
    x = 9,370,627,204/41,030
  6. Step 6: Final answer
    x = 228,384.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.