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Finding the Third Proportional to 6,856.31 and 14,981.63

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Solution

The third proportional to 6,856.31 and 14,981.63 is: 32,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.31 : 14,981.63 = 14,981.63 : x
  2. Step 2: Convert to fraction form
    6,856.31/14,981.63 = 14,981.63/x
  3. Step 3: Cross multiply
    6,856.31x = 14,981.63 × 14,981.63
  4. Step 4: Simplify right side
    6,856.31x = 224,449,087.64
  5. Step 5: Solve for x
    x = 224,449,087.64/6,856.31
  6. Step 6: Final answer
    x = 32,736.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.