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Finding the Third Proportional to 6,058.75 and 13,072.25

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Solution

The third proportional to 6,058.75 and 13,072.25 is: 28,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.75 : 13,072.25 = 13,072.25 : x
  2. Step 2: Convert to fraction form
    6,058.75/13,072.25 = 13,072.25/x
  3. Step 3: Cross multiply
    6,058.75x = 13,072.25 × 13,072.25
  4. Step 4: Simplify right side
    6,058.75x = 170,883,720.06
  5. Step 5: Solve for x
    x = 170,883,720.06/6,058.75
  6. Step 6: Final answer
    x = 28,204.45

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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.