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Finding the Third Proportional to 7,024 and 14,692

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Solution

The third proportional to 7,024 and 14,692 is: 30,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 14,692 = 14,692 : x
  2. Step 2: Convert to fraction form
    7,024/14,692 = 14,692/x
  3. Step 3: Cross multiply
    7,024x = 14,692 × 14,692
  4. Step 4: Simplify right side
    7,024x = 215,854,864
  5. Step 5: Solve for x
    x = 215,854,864/7,024
  6. Step 6: Final answer
    x = 30,731.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.