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Finding the Third Proportional to 11,173 and 27,548.50

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Solution

The third proportional to 11,173 and 27,548.50 is: 67,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173 : 27,548.50 = 27,548.50 : x
  2. Step 2: Convert to fraction form
    11,173/27,548.50 = 27,548.50/x
  3. Step 3: Cross multiply
    11,173x = 27,548.50 × 27,548.50
  4. Step 4: Simplify right side
    11,173x = 758,919,852.25
  5. Step 5: Solve for x
    x = 758,919,852.25/11,173
  6. Step 6: Final answer
    x = 67,924.45

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.