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Finding the Third Proportional to 3,141 and 6,768.50

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Solution

The third proportional to 3,141 and 6,768.50 is: 14,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 6,768.50 = 6,768.50 : x
  2. Step 2: Convert to fraction form
    3,141/6,768.50 = 6,768.50/x
  3. Step 3: Cross multiply
    3,141x = 6,768.50 × 6,768.50
  4. Step 4: Simplify right side
    3,141x = 45,812,592.25
  5. Step 5: Solve for x
    x = 45,812,592.25/3,141
  6. Step 6: Final answer
    x = 14,585.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.