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Finding the Third Proportional to 14,539.50 and 19,617.75

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Solution

The third proportional to 14,539.50 and 19,617.75 is: 26,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 19,617.75 = 19,617.75 : x
  2. Step 2: Convert to fraction form
    14,539.50/19,617.75 = 19,617.75/x
  3. Step 3: Cross multiply
    14,539.50x = 19,617.75 × 19,617.75
  4. Step 4: Simplify right side
    14,539.50x = 384,856,115.06
  5. Step 5: Solve for x
    x = 384,856,115.06/14,539.50
  6. Step 6: Final answer
    x = 26,469.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.