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Finding the Third Proportional to 16,094 and 25,609

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Solution

The third proportional to 16,094 and 25,609 is: 40,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094 : 25,609 = 25,609 : x
  2. Step 2: Convert to fraction form
    16,094/25,609 = 25,609/x
  3. Step 3: Cross multiply
    16,094x = 25,609 × 25,609
  4. Step 4: Simplify right side
    16,094x = 655,820,881
  5. Step 5: Solve for x
    x = 655,820,881/16,094
  6. Step 6: Final answer
    x = 40,749.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.