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Finding the Third Proportional to 14,769.75 and 21,923.25

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Solution

The third proportional to 14,769.75 and 21,923.25 is: 32,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.75 : 21,923.25 = 21,923.25 : x
  2. Step 2: Convert to fraction form
    14,769.75/21,923.25 = 21,923.25/x
  3. Step 3: Cross multiply
    14,769.75x = 21,923.25 × 21,923.25
  4. Step 4: Simplify right side
    14,769.75x = 480,628,890.56
  5. Step 5: Solve for x
    x = 480,628,890.56/14,769.75
  6. Step 6: Final answer
    x = 32,541.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.