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Finding the Third Proportional to 2,504.14 and 5,355.70

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Solution

The third proportional to 2,504.14 and 5,355.70 is: 11,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.14 : 5,355.70 = 5,355.70 : x
  2. Step 2: Convert to fraction form
    2,504.14/5,355.70 = 5,355.70/x
  3. Step 3: Cross multiply
    2,504.14x = 5,355.70 × 5,355.70
  4. Step 4: Simplify right side
    2,504.14x = 28,683,555.96
  5. Step 5: Solve for x
    x = 28,683,555.96/2,504.14
  6. Step 6: Final answer
    x = 11,454.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.