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Finding the Third Proportional to 40,362 and 93,795

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Solution

The third proportional to 40,362 and 93,795 is: 217,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,362 : 93,795 = 93,795 : x
  2. Step 2: Convert to fraction form
    40,362/93,795 = 93,795/x
  3. Step 3: Cross multiply
    40,362x = 93,795 × 93,795
  4. Step 4: Simplify right side
    40,362x = 8,797,502,025
  5. Step 5: Solve for x
    x = 8,797,502,025/40,362
  6. Step 6: Final answer
    x = 217,964.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.