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Finding the Third Proportional to 5,981.81 and 13,971.38

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Solution

The third proportional to 5,981.81 and 13,971.38 is: 32,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.81 : 13,971.38 = 13,971.38 : x
  2. Step 2: Convert to fraction form
    5,981.81/13,971.38 = 13,971.38/x
  3. Step 3: Cross multiply
    5,981.81x = 13,971.38 × 13,971.38
  4. Step 4: Simplify right side
    5,981.81x = 195,199,319.39
  5. Step 5: Solve for x
    x = 195,199,319.39/5,981.81
  6. Step 6: Final answer
    x = 32,632.14

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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.