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Finding the Third Proportional to 6,085 and 13,080.25

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Solution

The third proportional to 6,085 and 13,080.25 is: 28,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085 : 13,080.25 = 13,080.25 : x
  2. Step 2: Convert to fraction form
    6,085/13,080.25 = 13,080.25/x
  3. Step 3: Cross multiply
    6,085x = 13,080.25 × 13,080.25
  4. Step 4: Simplify right side
    6,085x = 171,092,940.06
  5. Step 5: Solve for x
    x = 171,092,940.06/6,085
  6. Step 6: Final answer
    x = 28,117.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.