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Finding the Third Proportional to 7,971.89 and 17,400.80

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Solution

The third proportional to 7,971.89 and 17,400.80 is: 37,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.89 : 17,400.80 = 17,400.80 : x
  2. Step 2: Convert to fraction form
    7,971.89/17,400.80 = 17,400.80/x
  3. Step 3: Cross multiply
    7,971.89x = 17,400.80 × 17,400.80
  4. Step 4: Simplify right side
    7,971.89x = 302,787,731.89
  5. Step 5: Solve for x
    x = 302,787,731.89/7,971.89
  6. Step 6: Final answer
    x = 37,981.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.