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Finding the Third Proportional to 16,443.56 and 35,514.56

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Solution

The third proportional to 16,443.56 and 35,514.56 is: 76,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.56 : 35,514.56 = 35,514.56 : x
  2. Step 2: Convert to fraction form
    16,443.56/35,514.56 = 35,514.56/x
  3. Step 3: Cross multiply
    16,443.56x = 35,514.56 × 35,514.56
  4. Step 4: Simplify right side
    16,443.56x = 1,261,284,149.57
  5. Step 5: Solve for x
    x = 1,261,284,149.57/16,443.56
  6. Step 6: Final answer
    x = 76,703.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.