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Finding the Third Proportional to 31,021.50 and 67,951

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Solution

The third proportional to 31,021.50 and 67,951 is: 148,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.50 : 67,951 = 67,951 : x
  2. Step 2: Convert to fraction form
    31,021.50/67,951 = 67,951/x
  3. Step 3: Cross multiply
    31,021.50x = 67,951 × 67,951
  4. Step 4: Simplify right side
    31,021.50x = 4,617,338,401
  5. Step 5: Solve for x
    x = 4,617,338,401/31,021.50
  6. Step 6: Final answer
    x = 148,843.17

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