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Finding the Third Proportional to 1,003.93 and 2,193.67

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Solution

The third proportional to 1,003.93 and 2,193.67 is: 4,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.93 : 2,193.67 = 2,193.67 : x
  2. Step 2: Convert to fraction form
    1,003.93/2,193.67 = 2,193.67/x
  3. Step 3: Cross multiply
    1,003.93x = 2,193.67 × 2,193.67
  4. Step 4: Simplify right side
    1,003.93x = 4,812,206.47
  5. Step 5: Solve for x
    x = 4,812,206.47/1,003.93
  6. Step 6: Final answer
    x = 4,793.36

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Why These Related Problems?

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