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Finding the Third Proportional to 31,948 and 67,993

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Solution

The third proportional to 31,948 and 67,993 is: 144,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,948 : 67,993 = 67,993 : x
  2. Step 2: Convert to fraction form
    31,948/67,993 = 67,993/x
  3. Step 3: Cross multiply
    31,948x = 67,993 × 67,993
  4. Step 4: Simplify right side
    31,948x = 4,623,048,049
  5. Step 5: Solve for x
    x = 4,623,048,049/31,948
  6. Step 6: Final answer
    x = 144,705.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.