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Finding the Third Proportional to 17,400 and 26,025

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Solution

The third proportional to 17,400 and 26,025 is: 38,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400 : 26,025 = 26,025 : x
  2. Step 2: Convert to fraction form
    17,400/26,025 = 26,025/x
  3. Step 3: Cross multiply
    17,400x = 26,025 × 26,025
  4. Step 4: Simplify right side
    17,400x = 677,300,625
  5. Step 5: Solve for x
    x = 677,300,625/17,400
  6. Step 6: Final answer
    x = 38,925.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.