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Finding the Third Proportional to 830.06 and 2,006.81

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Solution

The third proportional to 830.06 and 2,006.81 is: 4,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.06 : 2,006.81 = 2,006.81 : x
  2. Step 2: Convert to fraction form
    830.06/2,006.81 = 2,006.81/x
  3. Step 3: Cross multiply
    830.06x = 2,006.81 × 2,006.81
  4. Step 4: Simplify right side
    830.06x = 4,027,296.41
  5. Step 5: Solve for x
    x = 4,027,296.41/830.06
  6. Step 6: Final answer
    x = 4,851.80

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.