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Finding the Third Proportional to 14,177 and 31,045

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Solution

The third proportional to 14,177 and 31,045 is: 67,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177 : 31,045 = 31,045 : x
  2. Step 2: Convert to fraction form
    14,177/31,045 = 31,045/x
  3. Step 3: Cross multiply
    14,177x = 31,045 × 31,045
  4. Step 4: Simplify right side
    14,177x = 963,792,025
  5. Step 5: Solve for x
    x = 963,792,025/14,177
  6. Step 6: Final answer
    x = 67,982.79

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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.