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Finding the Third Proportional to 3,536.72 and 7,460.72

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Solution

The third proportional to 3,536.72 and 7,460.72 is: 15,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.72 : 7,460.72 = 7,460.72 : x
  2. Step 2: Convert to fraction form
    3,536.72/7,460.72 = 7,460.72/x
  3. Step 3: Cross multiply
    3,536.72x = 7,460.72 × 7,460.72
  4. Step 4: Simplify right side
    3,536.72x = 55,662,324.27
  5. Step 5: Solve for x
    x = 55,662,324.27/3,536.72
  6. Step 6: Final answer
    x = 15,738.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.