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Finding the Third Proportional to 13,044.75 and 19,816.50

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Solution

The third proportional to 13,044.75 and 19,816.50 is: 30,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.75 : 19,816.50 = 19,816.50 : x
  2. Step 2: Convert to fraction form
    13,044.75/19,816.50 = 19,816.50/x
  3. Step 3: Cross multiply
    13,044.75x = 19,816.50 × 19,816.50
  4. Step 4: Simplify right side
    13,044.75x = 392,693,672.25
  5. Step 5: Solve for x
    x = 392,693,672.25/13,044.75
  6. Step 6: Final answer
    x = 30,103.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.