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Finding the Third Proportional to 11,274.75 and 25,501

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Solution

The third proportional to 11,274.75 and 25,501 is: 57,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.75 : 25,501 = 25,501 : x
  2. Step 2: Convert to fraction form
    11,274.75/25,501 = 25,501/x
  3. Step 3: Cross multiply
    11,274.75x = 25,501 × 25,501
  4. Step 4: Simplify right side
    11,274.75x = 650,301,001
  5. Step 5: Solve for x
    x = 650,301,001/11,274.75
  6. Step 6: Final answer
    x = 57,677.64

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.