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Finding the Third Proportional to 11,916.75 and 17,530.88

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Solution

The third proportional to 11,916.75 and 17,530.88 is: 25,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.75 : 17,530.88 = 17,530.88 : x
  2. Step 2: Convert to fraction form
    11,916.75/17,530.88 = 17,530.88/x
  3. Step 3: Cross multiply
    11,916.75x = 17,530.88 × 17,530.88
  4. Step 4: Simplify right side
    11,916.75x = 307,331,578.27
  5. Step 5: Solve for x
    x = 307,331,578.27/11,916.75
  6. Step 6: Final answer
    x = 25,789.88

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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.