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Finding the Third Proportional to 4,536.32 and 9,745.39

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Solution

The third proportional to 4,536.32 and 9,745.39 is: 20,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.32 : 9,745.39 = 9,745.39 : x
  2. Step 2: Convert to fraction form
    4,536.32/9,745.39 = 9,745.39/x
  3. Step 3: Cross multiply
    4,536.32x = 9,745.39 × 9,745.39
  4. Step 4: Simplify right side
    4,536.32x = 94,972,657.47
  5. Step 5: Solve for x
    x = 94,972,657.47/4,536.32
  6. Step 6: Final answer
    x = 20,936.07

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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.