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Finding the Third Proportional to 5,157 and 11,103.75

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Solution

The third proportional to 5,157 and 11,103.75 is: 23,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157 : 11,103.75 = 11,103.75 : x
  2. Step 2: Convert to fraction form
    5,157/11,103.75 = 11,103.75/x
  3. Step 3: Cross multiply
    5,157x = 11,103.75 × 11,103.75
  4. Step 4: Simplify right side
    5,157x = 123,293,264.06
  5. Step 5: Solve for x
    x = 123,293,264.06/5,157
  6. Step 6: Final answer
    x = 23,907.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.