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Finding the Third Proportional to 40,928 and 89,666

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Solution

The third proportional to 40,928 and 89,666 is: 196,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,928 : 89,666 = 89,666 : x
  2. Step 2: Convert to fraction form
    40,928/89,666 = 89,666/x
  3. Step 3: Cross multiply
    40,928x = 89,666 × 89,666
  4. Step 4: Simplify right side
    40,928x = 8,039,991,556
  5. Step 5: Solve for x
    x = 8,039,991,556/40,928
  6. Step 6: Final answer
    x = 196,442.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.