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Finding the Third Proportional to 14,668 and 21,019.25

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Solution

The third proportional to 14,668 and 21,019.25 is: 30,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668 : 21,019.25 = 21,019.25 : x
  2. Step 2: Convert to fraction form
    14,668/21,019.25 = 21,019.25/x
  3. Step 3: Cross multiply
    14,668x = 21,019.25 × 21,019.25
  4. Step 4: Simplify right side
    14,668x = 441,808,870.56
  5. Step 5: Solve for x
    x = 441,808,870.56/14,668
  6. Step 6: Final answer
    x = 30,120.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.