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Finding the Third Proportional to 19,161 and 25,749

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Solution

The third proportional to 19,161 and 25,749 is: 34,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161 : 25,749 = 25,749 : x
  2. Step 2: Convert to fraction form
    19,161/25,749 = 25,749/x
  3. Step 3: Cross multiply
    19,161x = 25,749 × 25,749
  4. Step 4: Simplify right side
    19,161x = 663,011,001
  5. Step 5: Solve for x
    x = 663,011,001/19,161
  6. Step 6: Final answer
    x = 34,602.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.