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Finding the Third Proportional to 7,173 and 15,537.38

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Solution

The third proportional to 7,173 and 15,537.38 is: 33,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173 : 15,537.38 = 15,537.38 : x
  2. Step 2: Convert to fraction form
    7,173/15,537.38 = 15,537.38/x
  3. Step 3: Cross multiply
    7,173x = 15,537.38 × 15,537.38
  4. Step 4: Simplify right side
    7,173x = 241,410,021.89
  5. Step 5: Solve for x
    x = 241,410,021.89/7,173
  6. Step 6: Final answer
    x = 33,655.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.