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Finding the Third Proportional to 2,976.16 and 4,375.33

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Solution

The third proportional to 2,976.16 and 4,375.33 is: 6,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.16 : 4,375.33 = 4,375.33 : x
  2. Step 2: Convert to fraction form
    2,976.16/4,375.33 = 4,375.33/x
  3. Step 3: Cross multiply
    2,976.16x = 4,375.33 × 4,375.33
  4. Step 4: Simplify right side
    2,976.16x = 19,143,554.95
  5. Step 5: Solve for x
    x = 19,143,554.95/2,976.16
  6. Step 6: Final answer
    x = 6,432.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.