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Finding the Third Proportional to 25,698 and 41,085

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Solution

The third proportional to 25,698 and 41,085 is: 65,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698 : 41,085 = 41,085 : x
  2. Step 2: Convert to fraction form
    25,698/41,085 = 41,085/x
  3. Step 3: Cross multiply
    25,698x = 41,085 × 41,085
  4. Step 4: Simplify right side
    25,698x = 1,687,977,225
  5. Step 5: Solve for x
    x = 1,687,977,225/25,698
  6. Step 6: Final answer
    x = 65,685.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.