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Finding the Third Proportional to 25,977 and 41,835

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Solution

The third proportional to 25,977 and 41,835 is: 67,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977 : 41,835 = 41,835 : x
  2. Step 2: Convert to fraction form
    25,977/41,835 = 41,835/x
  3. Step 3: Cross multiply
    25,977x = 41,835 × 41,835
  4. Step 4: Simplify right side
    25,977x = 1,750,167,225
  5. Step 5: Solve for x
    x = 1,750,167,225/25,977
  6. Step 6: Final answer
    x = 67,373.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.