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Finding the Third Proportional to 6,781.50 and 10,303.50

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Solution

The third proportional to 6,781.50 and 10,303.50 is: 15,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.50 : 10,303.50 = 10,303.50 : x
  2. Step 2: Convert to fraction form
    6,781.50/10,303.50 = 10,303.50/x
  3. Step 3: Cross multiply
    6,781.50x = 10,303.50 × 10,303.50
  4. Step 4: Simplify right side
    6,781.50x = 106,162,112.25
  5. Step 5: Solve for x
    x = 106,162,112.25/6,781.50
  6. Step 6: Final answer
    x = 15,654.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.