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Finding the Third Proportional to 11,556.75 and 15,176.63

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Solution

The third proportional to 11,556.75 and 15,176.63 is: 19,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.75 : 15,176.63 = 15,176.63 : x
  2. Step 2: Convert to fraction form
    11,556.75/15,176.63 = 15,176.63/x
  3. Step 3: Cross multiply
    11,556.75x = 15,176.63 × 15,176.63
  4. Step 4: Simplify right side
    11,556.75x = 230,329,946.39
  5. Step 5: Solve for x
    x = 230,329,946.39/11,556.75
  6. Step 6: Final answer
    x = 19,930.34

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.