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Finding the Third Proportional to 3,602.81 and 8,413.03

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Solution

The third proportional to 3,602.81 and 8,413.03 is: 19,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.81 : 8,413.03 = 8,413.03 : x
  2. Step 2: Convert to fraction form
    3,602.81/8,413.03 = 8,413.03/x
  3. Step 3: Cross multiply
    3,602.81x = 8,413.03 × 8,413.03
  4. Step 4: Simplify right side
    3,602.81x = 70,779,094.81
  5. Step 5: Solve for x
    x = 70,779,094.81/3,602.81
  6. Step 6: Final answer
    x = 19,645.51

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.