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Finding the Third Proportional to 6,055.54 and 12,987.09

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Solution

The third proportional to 6,055.54 and 12,987.09 is: 27,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.54 : 12,987.09 = 12,987.09 : x
  2. Step 2: Convert to fraction form
    6,055.54/12,987.09 = 12,987.09/x
  3. Step 3: Cross multiply
    6,055.54x = 12,987.09 × 12,987.09
  4. Step 4: Simplify right side
    6,055.54x = 168,664,566.02
  5. Step 5: Solve for x
    x = 168,664,566.02/6,055.54
  6. Step 6: Final answer
    x = 27,852.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.