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Finding the Third Proportional to 3,714.19 and 3,975.75

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Solution

The third proportional to 3,714.19 and 3,975.75 is: 4,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.19 : 3,975.75 = 3,975.75 : x
  2. Step 2: Convert to fraction form
    3,714.19/3,975.75 = 3,975.75/x
  3. Step 3: Cross multiply
    3,714.19x = 3,975.75 × 3,975.75
  4. Step 4: Simplify right side
    3,714.19x = 15,806,588.06
  5. Step 5: Solve for x
    x = 15,806,588.06/3,714.19
  6. Step 6: Final answer
    x = 4,255.73

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.