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Finding the Third Proportional to 14,426.23 and 21,581.67

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Solution

The third proportional to 14,426.23 and 21,581.67 is: 32,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.23 : 21,581.67 = 21,581.67 : x
  2. Step 2: Convert to fraction form
    14,426.23/21,581.67 = 21,581.67/x
  3. Step 3: Cross multiply
    14,426.23x = 21,581.67 × 21,581.67
  4. Step 4: Simplify right side
    14,426.23x = 465,768,687.38
  5. Step 5: Solve for x
    x = 465,768,687.38/14,426.23
  6. Step 6: Final answer
    x = 32,286.25

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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.