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Finding the Third Proportional to 40,016 and 84,964

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Solution

The third proportional to 40,016 and 84,964 is: 180,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,016 : 84,964 = 84,964 : x
  2. Step 2: Convert to fraction form
    40,016/84,964 = 84,964/x
  3. Step 3: Cross multiply
    40,016x = 84,964 × 84,964
  4. Step 4: Simplify right side
    40,016x = 7,218,881,296
  5. Step 5: Solve for x
    x = 7,218,881,296/40,016
  6. Step 6: Final answer
    x = 180,399.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.