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Finding the Third Proportional to 6,504.75 and 15,177.38

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Solution

The third proportional to 6,504.75 and 15,177.38 is: 35,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.75 : 15,177.38 = 15,177.38 : x
  2. Step 2: Convert to fraction form
    6,504.75/15,177.38 = 15,177.38/x
  3. Step 3: Cross multiply
    6,504.75x = 15,177.38 × 15,177.38
  4. Step 4: Simplify right side
    6,504.75x = 230,352,711.89
  5. Step 5: Solve for x
    x = 230,352,711.89/6,504.75
  6. Step 6: Final answer
    x = 35,413.00

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.