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Finding the Third Proportional to 7,450.88 and 16,266.94

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Solution

The third proportional to 7,450.88 and 16,266.94 is: 35,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.88 : 16,266.94 = 16,266.94 : x
  2. Step 2: Convert to fraction form
    7,450.88/16,266.94 = 16,266.94/x
  3. Step 3: Cross multiply
    7,450.88x = 16,266.94 × 16,266.94
  4. Step 4: Simplify right side
    7,450.88x = 264,613,255.63
  5. Step 5: Solve for x
    x = 264,613,255.63/7,450.88
  6. Step 6: Final answer
    x = 35,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.