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Finding the Third Proportional to 17,511.50 and 37,484

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Solution

The third proportional to 17,511.50 and 37,484 is: 80,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511.50 : 37,484 = 37,484 : x
  2. Step 2: Convert to fraction form
    17,511.50/37,484 = 37,484/x
  3. Step 3: Cross multiply
    17,511.50x = 37,484 × 37,484
  4. Step 4: Simplify right side
    17,511.50x = 1,405,050,256
  5. Step 5: Solve for x
    x = 1,405,050,256/17,511.50
  6. Step 6: Final answer
    x = 80,235.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.