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Finding the Third Proportional to 15,083.25 and 19,835.25

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Solution

The third proportional to 15,083.25 and 19,835.25 is: 26,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.25 : 19,835.25 = 19,835.25 : x
  2. Step 2: Convert to fraction form
    15,083.25/19,835.25 = 19,835.25/x
  3. Step 3: Cross multiply
    15,083.25x = 19,835.25 × 19,835.25
  4. Step 4: Simplify right side
    15,083.25x = 393,437,142.56
  5. Step 5: Solve for x
    x = 393,437,142.56/15,083.25
  6. Step 6: Final answer
    x = 26,084.37

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.