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Finding the Third Proportional to 20,160.50 and 31,786.50

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Solution

The third proportional to 20,160.50 and 31,786.50 is: 50,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.50 : 31,786.50 = 31,786.50 : x
  2. Step 2: Convert to fraction form
    20,160.50/31,786.50 = 31,786.50/x
  3. Step 3: Cross multiply
    20,160.50x = 31,786.50 × 31,786.50
  4. Step 4: Simplify right side
    20,160.50x = 1,010,381,582.25
  5. Step 5: Solve for x
    x = 1,010,381,582.25/20,160.50
  6. Step 6: Final answer
    x = 50,116.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.