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Finding the Third Proportional to 11,910.75 and 17,501.63

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Solution

The third proportional to 11,910.75 and 17,501.63 is: 25,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.75 : 17,501.63 = 17,501.63 : x
  2. Step 2: Convert to fraction form
    11,910.75/17,501.63 = 17,501.63/x
  3. Step 3: Cross multiply
    11,910.75x = 17,501.63 × 17,501.63
  4. Step 4: Simplify right side
    11,910.75x = 306,306,877.64
  5. Step 5: Solve for x
    x = 306,306,877.64/11,910.75
  6. Step 6: Final answer
    x = 25,716.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.