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Finding the Third Proportional to 1,310.06 and 2,800.69

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Solution

The third proportional to 1,310.06 and 2,800.69 is: 5,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.06 : 2,800.69 = 2,800.69 : x
  2. Step 2: Convert to fraction form
    1,310.06/2,800.69 = 2,800.69/x
  3. Step 3: Cross multiply
    1,310.06x = 2,800.69 × 2,800.69
  4. Step 4: Simplify right side
    1,310.06x = 7,843,850.47
  5. Step 5: Solve for x
    x = 7,843,850.47/1,310.06
  6. Step 6: Final answer
    x = 5,987.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.