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Finding the Third Proportional to 6,339.94 and 8,413.03

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Solution

The third proportional to 6,339.94 and 8,413.03 is: 11,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.94 : 8,413.03 = 8,413.03 : x
  2. Step 2: Convert to fraction form
    6,339.94/8,413.03 = 8,413.03/x
  3. Step 3: Cross multiply
    6,339.94x = 8,413.03 × 8,413.03
  4. Step 4: Simplify right side
    6,339.94x = 70,779,094.81
  5. Step 5: Solve for x
    x = 70,779,094.81/6,339.94
  6. Step 6: Final answer
    x = 11,164.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.