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Finding the Third Proportional to 14,259 and 21,945

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Solution

The third proportional to 14,259 and 21,945 is: 33,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259 : 21,945 = 21,945 : x
  2. Step 2: Convert to fraction form
    14,259/21,945 = 21,945/x
  3. Step 3: Cross multiply
    14,259x = 21,945 × 21,945
  4. Step 4: Simplify right side
    14,259x = 481,583,025
  5. Step 5: Solve for x
    x = 481,583,025/14,259
  6. Step 6: Final answer
    x = 33,773.97

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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.