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Finding the Third Proportional to 9,479 and 14,219

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Solution

The third proportional to 9,479 and 14,219 is: 21,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479 : 14,219 = 14,219 : x
  2. Step 2: Convert to fraction form
    9,479/14,219 = 14,219/x
  3. Step 3: Cross multiply
    9,479x = 14,219 × 14,219
  4. Step 4: Simplify right side
    9,479x = 202,179,961
  5. Step 5: Solve for x
    x = 202,179,961/9,479
  6. Step 6: Final answer
    x = 21,329.25

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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.