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Finding the Third Proportional to 5,533.31 and 11,953.20

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Solution

The third proportional to 5,533.31 and 11,953.20 is: 25,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.31 : 11,953.20 = 11,953.20 : x
  2. Step 2: Convert to fraction form
    5,533.31/11,953.20 = 11,953.20/x
  3. Step 3: Cross multiply
    5,533.31x = 11,953.20 × 11,953.20
  4. Step 4: Simplify right side
    5,533.31x = 142,878,878.18
  5. Step 5: Solve for x
    x = 142,878,878.18/5,533.31
  6. Step 6: Final answer
    x = 25,821.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.