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Finding the Third Proportional to 6,210.50 and 12,109

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Solution

The third proportional to 6,210.50 and 12,109 is: 23,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.50 : 12,109 = 12,109 : x
  2. Step 2: Convert to fraction form
    6,210.50/12,109 = 12,109/x
  3. Step 3: Cross multiply
    6,210.50x = 12,109 × 12,109
  4. Step 4: Simplify right side
    6,210.50x = 146,627,881
  5. Step 5: Solve for x
    x = 146,627,881/6,210.50
  6. Step 6: Final answer
    x = 23,609.67

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.