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Finding the Third Proportional to 4,851.14 and 7,314.68

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Solution

The third proportional to 4,851.14 and 7,314.68 is: 11,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.14 : 7,314.68 = 7,314.68 : x
  2. Step 2: Convert to fraction form
    4,851.14/7,314.68 = 7,314.68/x
  3. Step 3: Cross multiply
    4,851.14x = 7,314.68 × 7,314.68
  4. Step 4: Simplify right side
    4,851.14x = 53,504,538.93
  5. Step 5: Solve for x
    x = 53,504,538.93/4,851.14
  6. Step 6: Final answer
    x = 11,029.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.