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Finding the Third Proportional to 6,514.59 and 14,061.94

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Solution

The third proportional to 6,514.59 and 14,061.94 is: 30,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.59 : 14,061.94 = 14,061.94 : x
  2. Step 2: Convert to fraction form
    6,514.59/14,061.94 = 14,061.94/x
  3. Step 3: Cross multiply
    6,514.59x = 14,061.94 × 14,061.94
  4. Step 4: Simplify right side
    6,514.59x = 197,738,086.25
  5. Step 5: Solve for x
    x = 197,738,086.25/6,514.59
  6. Step 6: Final answer
    x = 30,353.10

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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.