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Finding the Third Proportional to 6,398 and 13,956.25

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Solution

The third proportional to 6,398 and 13,956.25 is: 30,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398 : 13,956.25 = 13,956.25 : x
  2. Step 2: Convert to fraction form
    6,398/13,956.25 = 13,956.25/x
  3. Step 3: Cross multiply
    6,398x = 13,956.25 × 13,956.25
  4. Step 4: Simplify right side
    6,398x = 194,776,914.06
  5. Step 5: Solve for x
    x = 194,776,914.06/6,398
  6. Step 6: Final answer
    x = 30,443.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.