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Finding the Third Proportional to 10,073 and 16,405

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Solution

The third proportional to 10,073 and 16,405 is: 26,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073 : 16,405 = 16,405 : x
  2. Step 2: Convert to fraction form
    10,073/16,405 = 16,405/x
  3. Step 3: Cross multiply
    10,073x = 16,405 × 16,405
  4. Step 4: Simplify right side
    10,073x = 269,124,025
  5. Step 5: Solve for x
    x = 269,124,025/10,073
  6. Step 6: Final answer
    x = 26,717.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.