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Finding the Third Proportional to 14,576 and 21,867

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Solution

The third proportional to 14,576 and 21,867 is: 32,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576 : 21,867 = 21,867 : x
  2. Step 2: Convert to fraction form
    14,576/21,867 = 21,867/x
  3. Step 3: Cross multiply
    14,576x = 21,867 × 21,867
  4. Step 4: Simplify right side
    14,576x = 478,165,689
  5. Step 5: Solve for x
    x = 478,165,689/14,576
  6. Step 6: Final answer
    x = 32,805.00

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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.