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Finding the Third Proportional to 14,262.75 and 20,722.50

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Solution

The third proportional to 14,262.75 and 20,722.50 is: 30,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.75 : 20,722.50 = 20,722.50 : x
  2. Step 2: Convert to fraction form
    14,262.75/20,722.50 = 20,722.50/x
  3. Step 3: Cross multiply
    14,262.75x = 20,722.50 × 20,722.50
  4. Step 4: Simplify right side
    14,262.75x = 429,422,006.25
  5. Step 5: Solve for x
    x = 429,422,006.25/14,262.75
  6. Step 6: Final answer
    x = 30,107.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.