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Finding the Third Proportional to 5,536.32 and 11,995.28

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Solution

The third proportional to 5,536.32 and 11,995.28 is: 25,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.32 : 11,995.28 = 11,995.28 : x
  2. Step 2: Convert to fraction form
    5,536.32/11,995.28 = 11,995.28/x
  3. Step 3: Cross multiply
    5,536.32x = 11,995.28 × 11,995.28
  4. Step 4: Simplify right side
    5,536.32x = 143,886,678.55
  5. Step 5: Solve for x
    x = 143,886,678.55/5,536.32
  6. Step 6: Final answer
    x = 25,989.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.