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Finding the Third Proportional to 13,514.98 and 29,661.19

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Solution

The third proportional to 13,514.98 and 29,661.19 is: 65,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.98 : 29,661.19 = 29,661.19 : x
  2. Step 2: Convert to fraction form
    13,514.98/29,661.19 = 29,661.19/x
  3. Step 3: Cross multiply
    13,514.98x = 29,661.19 × 29,661.19
  4. Step 4: Simplify right side
    13,514.98x = 879,786,043.91
  5. Step 5: Solve for x
    x = 879,786,043.91/13,514.98
  6. Step 6: Final answer
    x = 65,097.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.