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Finding the Third Proportional to 13,514.98 and 20,785.04

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Solution

The third proportional to 13,514.98 and 20,785.04 is: 31,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.98 : 20,785.04 = 20,785.04 : x
  2. Step 2: Convert to fraction form
    13,514.98/20,785.04 = 20,785.04/x
  3. Step 3: Cross multiply
    13,514.98x = 20,785.04 × 20,785.04
  4. Step 4: Simplify right side
    13,514.98x = 432,018,011.21
  5. Step 5: Solve for x
    x = 432,018,011.21/13,514.98
  6. Step 6: Final answer
    x = 31,965.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.