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Finding the Third Proportional to 14,682.75 and 22,744.13

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Solution

The third proportional to 14,682.75 and 22,744.13 is: 35,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.75 : 22,744.13 = 22,744.13 : x
  2. Step 2: Convert to fraction form
    14,682.75/22,744.13 = 22,744.13/x
  3. Step 3: Cross multiply
    14,682.75x = 22,744.13 × 22,744.13
  4. Step 4: Simplify right side
    14,682.75x = 517,295,222.02
  5. Step 5: Solve for x
    x = 517,295,222.02/14,682.75
  6. Step 6: Final answer
    x = 35,231.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.