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Finding the Third Proportional to 2,751.19 and 4,525.31

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Solution

The third proportional to 2,751.19 and 4,525.31 is: 7,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.19 : 4,525.31 = 4,525.31 : x
  2. Step 2: Convert to fraction form
    2,751.19/4,525.31 = 4,525.31/x
  3. Step 3: Cross multiply
    2,751.19x = 4,525.31 × 4,525.31
  4. Step 4: Simplify right side
    2,751.19x = 20,478,453.22
  5. Step 5: Solve for x
    x = 20,478,453.22/2,751.19
  6. Step 6: Final answer
    x = 7,443.50

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.