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Finding the Third Proportional to 14,544 and 21,764

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Solution

The third proportional to 14,544 and 21,764 is: 32,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544 : 21,764 = 21,764 : x
  2. Step 2: Convert to fraction form
    14,544/21,764 = 21,764/x
  3. Step 3: Cross multiply
    14,544x = 21,764 × 21,764
  4. Step 4: Simplify right side
    14,544x = 473,671,696
  5. Step 5: Solve for x
    x = 473,671,696/14,544
  6. Step 6: Final answer
    x = 32,568.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.