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Finding the Third Proportional to 14,496.75 and 23,622.75

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Solution

The third proportional to 14,496.75 and 23,622.75 is: 38,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.75 : 23,622.75 = 23,622.75 : x
  2. Step 2: Convert to fraction form
    14,496.75/23,622.75 = 23,622.75/x
  3. Step 3: Cross multiply
    14,496.75x = 23,622.75 × 23,622.75
  4. Step 4: Simplify right side
    14,496.75x = 558,034,317.56
  5. Step 5: Solve for x
    x = 558,034,317.56/14,496.75
  6. Step 6: Final answer
    x = 38,493.75

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.