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Finding the Third Proportional to 6,159.56 and 13,511.44

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Solution

The third proportional to 6,159.56 and 13,511.44 is: 29,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.56 : 13,511.44 = 13,511.44 : x
  2. Step 2: Convert to fraction form
    6,159.56/13,511.44 = 13,511.44/x
  3. Step 3: Cross multiply
    6,159.56x = 13,511.44 × 13,511.44
  4. Step 4: Simplify right side
    6,159.56x = 182,558,943.32
  5. Step 5: Solve for x
    x = 182,558,943.32/6,159.56
  6. Step 6: Final answer
    x = 29,638.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.