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Finding the Third Proportional to 14,131.50 and 20,764.50

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Solution

The third proportional to 14,131.50 and 20,764.50 is: 30,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.50 : 20,764.50 = 20,764.50 : x
  2. Step 2: Convert to fraction form
    14,131.50/20,764.50 = 20,764.50/x
  3. Step 3: Cross multiply
    14,131.50x = 20,764.50 × 20,764.50
  4. Step 4: Simplify right side
    14,131.50x = 431,164,460.25
  5. Step 5: Solve for x
    x = 431,164,460.25/14,131.50
  6. Step 6: Final answer
    x = 30,510.88

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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.