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Finding the Third Proportional to 19,188 and 44,852

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Solution

The third proportional to 19,188 and 44,852 is: 104,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 44,852 = 44,852 : x
  2. Step 2: Convert to fraction form
    19,188/44,852 = 44,852/x
  3. Step 3: Cross multiply
    19,188x = 44,852 × 44,852
  4. Step 4: Simplify right side
    19,188x = 2,011,701,904
  5. Step 5: Solve for x
    x = 2,011,701,904/19,188
  6. Step 6: Final answer
    x = 104,841.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.