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Finding the Third Proportional to 11,525.25 and 17,393.81

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Solution

The third proportional to 11,525.25 and 17,393.81 is: 26,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.25 : 17,393.81 = 17,393.81 : x
  2. Step 2: Convert to fraction form
    11,525.25/17,393.81 = 17,393.81/x
  3. Step 3: Cross multiply
    11,525.25x = 17,393.81 × 17,393.81
  4. Step 4: Simplify right side
    11,525.25x = 302,544,713.29
  5. Step 5: Solve for x
    x = 302,544,713.29/11,525.25
  6. Step 6: Final answer
    x = 26,250.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.