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Finding the Third Proportional to 7,012 and 13,898

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Solution

The third proportional to 7,012 and 13,898 is: 27,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012 : 13,898 = 13,898 : x
  2. Step 2: Convert to fraction form
    7,012/13,898 = 13,898/x
  3. Step 3: Cross multiply
    7,012x = 13,898 × 13,898
  4. Step 4: Simplify right side
    7,012x = 193,154,404
  5. Step 5: Solve for x
    x = 193,154,404/7,012
  6. Step 6: Final answer
    x = 27,546.26

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.