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Finding the Third Proportional to 6,054.12 and 13,081.06

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Solution

The third proportional to 6,054.12 and 13,081.06 is: 28,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.12 : 13,081.06 = 13,081.06 : x
  2. Step 2: Convert to fraction form
    6,054.12/13,081.06 = 13,081.06/x
  3. Step 3: Cross multiply
    6,054.12x = 13,081.06 × 13,081.06
  4. Step 4: Simplify right side
    6,054.12x = 171,114,260.00
  5. Step 5: Solve for x
    x = 171,114,260.00/6,054.12
  6. Step 6: Final answer
    x = 28,264.11

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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.