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Finding the Third Proportional to 25,909.75 and 41,201

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Solution

The third proportional to 25,909.75 and 41,201 is: 65,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.75 : 41,201 = 41,201 : x
  2. Step 2: Convert to fraction form
    25,909.75/41,201 = 41,201/x
  3. Step 3: Cross multiply
    25,909.75x = 41,201 × 41,201
  4. Step 4: Simplify right side
    25,909.75x = 1,697,522,401
  5. Step 5: Solve for x
    x = 1,697,522,401/25,909.75
  6. Step 6: Final answer
    x = 65,516.74

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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.