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Finding the Third Proportional to 930.66 and 2,005.03

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Solution

The third proportional to 930.66 and 2,005.03 is: 4,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.66 : 2,005.03 = 2,005.03 : x
  2. Step 2: Convert to fraction form
    930.66/2,005.03 = 2,005.03/x
  3. Step 3: Cross multiply
    930.66x = 2,005.03 × 2,005.03
  4. Step 4: Simplify right side
    930.66x = 4,020,150.31
  5. Step 5: Solve for x
    x = 4,020,150.31/930.66
  6. Step 6: Final answer
    x = 4,319.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.