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Finding the Third Proportional to 14,794.50 and 21,757.50

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Solution

The third proportional to 14,794.50 and 21,757.50 is: 31,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.50 : 21,757.50 = 21,757.50 : x
  2. Step 2: Convert to fraction form
    14,794.50/21,757.50 = 21,757.50/x
  3. Step 3: Cross multiply
    14,794.50x = 21,757.50 × 21,757.50
  4. Step 4: Simplify right side
    14,794.50x = 473,388,806.25
  5. Step 5: Solve for x
    x = 473,388,806.25/14,794.50
  6. Step 6: Final answer
    x = 31,997.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.