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Finding the Third Proportional to 1,000.06 and 2,192.34

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Solution

The third proportional to 1,000.06 and 2,192.34 is: 4,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.06 : 2,192.34 = 2,192.34 : x
  2. Step 2: Convert to fraction form
    1,000.06/2,192.34 = 2,192.34/x
  3. Step 3: Cross multiply
    1,000.06x = 2,192.34 × 2,192.34
  4. Step 4: Simplify right side
    1,000.06x = 4,806,351.85
  5. Step 5: Solve for x
    x = 4,806,351.85/1,000.06
  6. Step 6: Final answer
    x = 4,806.06

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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.