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Finding the Third Proportional to 6,051.09 and 13,058.16

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Solution

The third proportional to 6,051.09 and 13,058.16 is: 28,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.09 : 13,058.16 = 13,058.16 : x
  2. Step 2: Convert to fraction form
    6,051.09/13,058.16 = 13,058.16/x
  3. Step 3: Cross multiply
    6,051.09x = 13,058.16 × 13,058.16
  4. Step 4: Simplify right side
    6,051.09x = 170,515,444.65
  5. Step 5: Solve for x
    x = 170,515,444.65/6,051.09
  6. Step 6: Final answer
    x = 28,179.28

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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.