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Finding the Third Proportional to 1,429.52 and 3,447.80

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Solution

The third proportional to 1,429.52 and 3,447.80 is: 8,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.52 : 3,447.80 = 3,447.80 : x
  2. Step 2: Convert to fraction form
    1,429.52/3,447.80 = 3,447.80/x
  3. Step 3: Cross multiply
    1,429.52x = 3,447.80 × 3,447.80
  4. Step 4: Simplify right side
    1,429.52x = 11,887,323.49
  5. Step 5: Solve for x
    x = 11,887,323.49/1,429.52
  6. Step 6: Final answer
    x = 8,315.58

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.