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Finding the Third Proportional to 5,405.63 and 11,675.25

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Solution

The third proportional to 5,405.63 and 11,675.25 is: 25,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.63 : 11,675.25 = 11,675.25 : x
  2. Step 2: Convert to fraction form
    5,405.63/11,675.25 = 11,675.25/x
  3. Step 3: Cross multiply
    5,405.63x = 11,675.25 × 11,675.25
  4. Step 4: Simplify right side
    5,405.63x = 136,311,462.56
  5. Step 5: Solve for x
    x = 136,311,462.56/5,405.63
  6. Step 6: Final answer
    x = 25,216.60

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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.