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Finding the Third Proportional to 17,077.50 and 20,155.50

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Solution

The third proportional to 17,077.50 and 20,155.50 is: 23,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.50 : 20,155.50 = 20,155.50 : x
  2. Step 2: Convert to fraction form
    17,077.50/20,155.50 = 20,155.50/x
  3. Step 3: Cross multiply
    17,077.50x = 20,155.50 × 20,155.50
  4. Step 4: Simplify right side
    17,077.50x = 406,244,180.25
  5. Step 5: Solve for x
    x = 406,244,180.25/17,077.50
  6. Step 6: Final answer
    x = 23,788.27

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.