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Finding the Third Proportional to 14,666 and 20,896

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Solution

The third proportional to 14,666 and 20,896 is: 29,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666 : 20,896 = 20,896 : x
  2. Step 2: Convert to fraction form
    14,666/20,896 = 20,896/x
  3. Step 3: Cross multiply
    14,666x = 20,896 × 20,896
  4. Step 4: Simplify right side
    14,666x = 436,642,816
  5. Step 5: Solve for x
    x = 436,642,816/14,666
  6. Step 6: Final answer
    x = 29,772.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.