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Finding the Third Proportional to 26,000 and 38,025

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Solution

The third proportional to 26,000 and 38,025 is: 55,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 38,025 = 38,025 : x
  2. Step 2: Convert to fraction form
    26,000/38,025 = 38,025/x
  3. Step 3: Cross multiply
    26,000x = 38,025 × 38,025
  4. Step 4: Simplify right side
    26,000x = 1,445,900,625
  5. Step 5: Solve for x
    x = 1,445,900,625/26,000
  6. Step 6: Final answer
    x = 55,611.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.