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Finding the Third Proportional to 11,497.50 and 17,145

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Solution

The third proportional to 11,497.50 and 17,145 is: 25,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.50 : 17,145 = 17,145 : x
  2. Step 2: Convert to fraction form
    11,497.50/17,145 = 17,145/x
  3. Step 3: Cross multiply
    11,497.50x = 17,145 × 17,145
  4. Step 4: Simplify right side
    11,497.50x = 293,951,025
  5. Step 5: Solve for x
    x = 293,951,025/11,497.50
  6. Step 6: Final answer
    x = 25,566.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.