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Finding the Third Proportional to 7,865.44 and 12,003.19

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Solution

The third proportional to 7,865.44 and 12,003.19 is: 18,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.44 : 12,003.19 = 12,003.19 : x
  2. Step 2: Convert to fraction form
    7,865.44/12,003.19 = 12,003.19/x
  3. Step 3: Cross multiply
    7,865.44x = 12,003.19 × 12,003.19
  4. Step 4: Simplify right side
    7,865.44x = 144,076,510.16
  5. Step 5: Solve for x
    x = 144,076,510.16/7,865.44
  6. Step 6: Final answer
    x = 18,317.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.