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Finding the Third Proportional to 11,926.88 and 17,525.63

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Solution

The third proportional to 11,926.88 and 17,525.63 is: 25,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.88 : 17,525.63 = 17,525.63 : x
  2. Step 2: Convert to fraction form
    11,926.88/17,525.63 = 17,525.63/x
  3. Step 3: Cross multiply
    11,926.88x = 17,525.63 × 17,525.63
  4. Step 4: Simplify right side
    11,926.88x = 307,147,531.64
  5. Step 5: Solve for x
    x = 307,147,531.64/11,926.88
  6. Step 6: Final answer
    x = 25,752.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.