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Finding the Third Proportional to 13,246.88 and 19,870.31

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Solution

The third proportional to 13,246.88 and 19,870.31 is: 29,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.88 : 19,870.31 = 19,870.31 : x
  2. Step 2: Convert to fraction form
    13,246.88/19,870.31 = 19,870.31/x
  3. Step 3: Cross multiply
    13,246.88x = 19,870.31 × 19,870.31
  4. Step 4: Simplify right side
    13,246.88x = 394,829,318.85
  5. Step 5: Solve for x
    x = 394,829,318.85/13,246.88
  6. Step 6: Final answer
    x = 29,805.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.