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Finding the Third Proportional to 11,670.88 and 17,514.63

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Solution

The third proportional to 11,670.88 and 17,514.63 is: 26,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.88 : 17,514.63 = 17,514.63 : x
  2. Step 2: Convert to fraction form
    11,670.88/17,514.63 = 17,514.63/x
  3. Step 3: Cross multiply
    11,670.88x = 17,514.63 × 17,514.63
  4. Step 4: Simplify right side
    11,670.88x = 306,762,088.89
  5. Step 5: Solve for x
    x = 306,762,088.89/11,670.88
  6. Step 6: Final answer
    x = 26,284.41

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