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Finding the Third Proportional to 6,984 and 13,788

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Solution

The third proportional to 6,984 and 13,788 is: 27,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 13,788 = 13,788 : x
  2. Step 2: Convert to fraction form
    6,984/13,788 = 13,788/x
  3. Step 3: Cross multiply
    6,984x = 13,788 × 13,788
  4. Step 4: Simplify right side
    6,984x = 190,108,944
  5. Step 5: Solve for x
    x = 190,108,944/6,984
  6. Step 6: Final answer
    x = 27,220.64

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.