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Finding the Third Proportional to 2,076.75 and 4,354.31

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Solution

The third proportional to 2,076.75 and 4,354.31 is: 9,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.75 : 4,354.31 = 4,354.31 : x
  2. Step 2: Convert to fraction form
    2,076.75/4,354.31 = 4,354.31/x
  3. Step 3: Cross multiply
    2,076.75x = 4,354.31 × 4,354.31
  4. Step 4: Simplify right side
    2,076.75x = 18,960,037.35
  5. Step 5: Solve for x
    x = 18,960,037.35/2,076.75
  6. Step 6: Final answer
    x = 9,129.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.