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Finding the Third Proportional to 14,068.50 and 30,945

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Solution

The third proportional to 14,068.50 and 30,945 is: 68,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.50 : 30,945 = 30,945 : x
  2. Step 2: Convert to fraction form
    14,068.50/30,945 = 30,945/x
  3. Step 3: Cross multiply
    14,068.50x = 30,945 × 30,945
  4. Step 4: Simplify right side
    14,068.50x = 957,593,025
  5. Step 5: Solve for x
    x = 957,593,025/14,068.50
  6. Step 6: Final answer
    x = 68,066.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.