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Finding the Third Proportional to 2,574.56 and 4,890.94

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Solution

The third proportional to 2,574.56 and 4,890.94 is: 9,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.56 : 4,890.94 = 4,890.94 : x
  2. Step 2: Convert to fraction form
    2,574.56/4,890.94 = 4,890.94/x
  3. Step 3: Cross multiply
    2,574.56x = 4,890.94 × 4,890.94
  4. Step 4: Simplify right side
    2,574.56x = 23,921,269.63
  5. Step 5: Solve for x
    x = 23,921,269.63/2,574.56
  6. Step 6: Final answer
    x = 9,291.39

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.