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Finding the Third Proportional to 2,354.06 and 3,528.56

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Solution

The third proportional to 2,354.06 and 3,528.56 is: 5,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.06 : 3,528.56 = 3,528.56 : x
  2. Step 2: Convert to fraction form
    2,354.06/3,528.56 = 3,528.56/x
  3. Step 3: Cross multiply
    2,354.06x = 3,528.56 × 3,528.56
  4. Step 4: Simplify right side
    2,354.06x = 12,450,753.32
  5. Step 5: Solve for x
    x = 12,450,753.32/2,354.06
  6. Step 6: Final answer
    x = 5,289.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.