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Finding the Third Proportional to 3,112.80 and 4,669.52

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Solution

The third proportional to 3,112.80 and 4,669.52 is: 7,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.80 : 4,669.52 = 4,669.52 : x
  2. Step 2: Convert to fraction form
    3,112.80/4,669.52 = 4,669.52/x
  3. Step 3: Cross multiply
    3,112.80x = 4,669.52 × 4,669.52
  4. Step 4: Simplify right side
    3,112.80x = 21,804,449.13
  5. Step 5: Solve for x
    x = 21,804,449.13/3,112.80
  6. Step 6: Final answer
    x = 7,004.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.