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Finding the Third Proportional to 3,971.25 and 8,570.25

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Solution

The third proportional to 3,971.25 and 8,570.25 is: 18,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.25 : 8,570.25 = 8,570.25 : x
  2. Step 2: Convert to fraction form
    3,971.25/8,570.25 = 8,570.25/x
  3. Step 3: Cross multiply
    3,971.25x = 8,570.25 × 8,570.25
  4. Step 4: Simplify right side
    3,971.25x = 73,449,185.06
  5. Step 5: Solve for x
    x = 73,449,185.06/3,971.25
  6. Step 6: Final answer
    x = 18,495.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.