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Finding the Third Proportional to 2,556.56 and 6,066.14

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Solution

The third proportional to 2,556.56 and 6,066.14 is: 14,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.56 : 6,066.14 = 6,066.14 : x
  2. Step 2: Convert to fraction form
    2,556.56/6,066.14 = 6,066.14/x
  3. Step 3: Cross multiply
    2,556.56x = 6,066.14 × 6,066.14
  4. Step 4: Simplify right side
    2,556.56x = 36,798,062.08
  5. Step 5: Solve for x
    x = 36,798,062.08/2,556.56
  6. Step 6: Final answer
    x = 14,393.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.