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Finding the Third Proportional to 2,390.63 and 3,176.44

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Solution

The third proportional to 2,390.63 and 3,176.44 is: 4,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.63 : 3,176.44 = 3,176.44 : x
  2. Step 2: Convert to fraction form
    2,390.63/3,176.44 = 3,176.44/x
  3. Step 3: Cross multiply
    2,390.63x = 3,176.44 × 3,176.44
  4. Step 4: Simplify right side
    2,390.63x = 10,089,755.19
  5. Step 5: Solve for x
    x = 10,089,755.19/2,390.63
  6. Step 6: Final answer
    x = 4,220.55

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.