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Finding the Third Proportional to 19,174 and 44,820

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Solution

The third proportional to 19,174 and 44,820 is: 104,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,174 : 44,820 = 44,820 : x
  2. Step 2: Convert to fraction form
    19,174/44,820 = 44,820/x
  3. Step 3: Cross multiply
    19,174x = 44,820 × 44,820
  4. Step 4: Simplify right side
    19,174x = 2,008,832,400
  5. Step 5: Solve for x
    x = 2,008,832,400/19,174
  6. Step 6: Final answer
    x = 104,768.56

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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.