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Finding the Third Proportional to 3,471.61 and 5,116.29

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Solution

The third proportional to 3,471.61 and 5,116.29 is: 7,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.61 : 5,116.29 = 5,116.29 : x
  2. Step 2: Convert to fraction form
    3,471.61/5,116.29 = 5,116.29/x
  3. Step 3: Cross multiply
    3,471.61x = 5,116.29 × 5,116.29
  4. Step 4: Simplify right side
    3,471.61x = 26,176,413.77
  5. Step 5: Solve for x
    x = 26,176,413.77/3,471.61
  6. Step 6: Final answer
    x = 7,540.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.