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Finding the Third Proportional to 1,938.94 and 5,157.84

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Solution

The third proportional to 1,938.94 and 5,157.84 is: 13,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.94 : 5,157.84 = 5,157.84 : x
  2. Step 2: Convert to fraction form
    1,938.94/5,157.84 = 5,157.84/x
  3. Step 3: Cross multiply
    1,938.94x = 5,157.84 × 5,157.84
  4. Step 4: Simplify right side
    1,938.94x = 26,603,352.15
  5. Step 5: Solve for x
    x = 26,603,352.15/1,938.94
  6. Step 6: Final answer
    x = 13,720.58

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.