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Finding the Third Proportional to 1,070.44 and 1,823.06

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Solution

The third proportional to 1,070.44 and 1,823.06 is: 3,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.44 : 1,823.06 = 1,823.06 : x
  2. Step 2: Convert to fraction form
    1,070.44/1,823.06 = 1,823.06/x
  3. Step 3: Cross multiply
    1,070.44x = 1,823.06 × 1,823.06
  4. Step 4: Simplify right side
    1,070.44x = 3,323,556.88
  5. Step 5: Solve for x
    x = 3,323,556.88/1,070.44
  6. Step 6: Final answer
    x = 3,104.86

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.