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Finding the Third Proportional to 6,731.86 and 15,514.03

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Solution

The third proportional to 6,731.86 and 15,514.03 is: 35,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.86 : 15,514.03 = 15,514.03 : x
  2. Step 2: Convert to fraction form
    6,731.86/15,514.03 = 15,514.03/x
  3. Step 3: Cross multiply
    6,731.86x = 15,514.03 × 15,514.03
  4. Step 4: Simplify right side
    6,731.86x = 240,685,165.63
  5. Step 5: Solve for x
    x = 240,685,165.63/6,731.86
  6. Step 6: Final answer
    x = 35,753.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.