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Finding the Third Proportional to 14,945 and 22,405

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Solution

The third proportional to 14,945 and 22,405 is: 33,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945 : 22,405 = 22,405 : x
  2. Step 2: Convert to fraction form
    14,945/22,405 = 22,405/x
  3. Step 3: Cross multiply
    14,945x = 22,405 × 22,405
  4. Step 4: Simplify right side
    14,945x = 501,984,025
  5. Step 5: Solve for x
    x = 501,984,025/14,945
  6. Step 6: Final answer
    x = 33,588.76

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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.