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Finding the Third Proportional to 11,670.56 and 17,514.19

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Solution

The third proportional to 11,670.56 and 17,514.19 is: 26,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.56 : 17,514.19 = 17,514.19 : x
  2. Step 2: Convert to fraction form
    11,670.56/17,514.19 = 17,514.19/x
  3. Step 3: Cross multiply
    11,670.56x = 17,514.19 × 17,514.19
  4. Step 4: Simplify right side
    11,670.56x = 306,746,763.79
  5. Step 5: Solve for x
    x = 306,746,763.79/11,670.56
  6. Step 6: Final answer
    x = 26,283.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.