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Finding the Third Proportional to 1,193.06 and 2,820.66

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Solution

The third proportional to 1,193.06 and 2,820.66 is: 6,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.06 : 2,820.66 = 2,820.66 : x
  2. Step 2: Convert to fraction form
    1,193.06/2,820.66 = 2,820.66/x
  3. Step 3: Cross multiply
    1,193.06x = 2,820.66 × 2,820.66
  4. Step 4: Simplify right side
    1,193.06x = 7,956,101.68
  5. Step 5: Solve for x
    x = 7,956,101.68/1,193.06
  6. Step 6: Final answer
    x = 6,668.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.