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Finding the Third Proportional to 6,984 and 10,904

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Solution

The third proportional to 6,984 and 10,904 is: 17,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 10,904 = 10,904 : x
  2. Step 2: Convert to fraction form
    6,984/10,904 = 10,904/x
  3. Step 3: Cross multiply
    6,984x = 10,904 × 10,904
  4. Step 4: Simplify right side
    6,984x = 118,897,216
  5. Step 5: Solve for x
    x = 118,897,216/6,984
  6. Step 6: Final answer
    x = 17,024.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.