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Finding the Third Proportional to 16,905 and 26,025

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Solution

The third proportional to 16,905 and 26,025 is: 40,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905 : 26,025 = 26,025 : x
  2. Step 2: Convert to fraction form
    16,905/26,025 = 26,025/x
  3. Step 3: Cross multiply
    16,905x = 26,025 × 26,025
  4. Step 4: Simplify right side
    16,905x = 677,300,625
  5. Step 5: Solve for x
    x = 677,300,625/16,905
  6. Step 6: Final answer
    x = 40,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.