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Finding the Third Proportional to 5,655.38 and 12,351.38

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Solution

The third proportional to 5,655.38 and 12,351.38 is: 26,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.38 : 12,351.38 = 12,351.38 : x
  2. Step 2: Convert to fraction form
    5,655.38/12,351.38 = 12,351.38/x
  3. Step 3: Cross multiply
    5,655.38x = 12,351.38 × 12,351.38
  4. Step 4: Simplify right side
    5,655.38x = 152,556,464.39
  5. Step 5: Solve for x
    x = 152,556,464.39/5,655.38
  6. Step 6: Final answer
    x = 26,975.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.