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Finding the Third Proportional to 11,497.50 and 16,275

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Solution

The third proportional to 11,497.50 and 16,275 is: 23,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.50 : 16,275 = 16,275 : x
  2. Step 2: Convert to fraction form
    11,497.50/16,275 = 16,275/x
  3. Step 3: Cross multiply
    11,497.50x = 16,275 × 16,275
  4. Step 4: Simplify right side
    11,497.50x = 264,875,625
  5. Step 5: Solve for x
    x = 264,875,625/11,497.50
  6. Step 6: Final answer
    x = 23,037.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.