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Finding the Third Proportional to 5,127.75 and 7,683.75

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Solution

The third proportional to 5,127.75 and 7,683.75 is: 11,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.75 : 7,683.75 = 7,683.75 : x
  2. Step 2: Convert to fraction form
    5,127.75/7,683.75 = 7,683.75/x
  3. Step 3: Cross multiply
    5,127.75x = 7,683.75 × 7,683.75
  4. Step 4: Simplify right side
    5,127.75x = 59,040,014.06
  5. Step 5: Solve for x
    x = 59,040,014.06/5,127.75
  6. Step 6: Final answer
    x = 11,513.82

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Why These Related Problems?

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