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Finding the Third Proportional to 13,137.50 and 19,842.63

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Solution

The third proportional to 13,137.50 and 19,842.63 is: 29,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.50 : 19,842.63 = 19,842.63 : x
  2. Step 2: Convert to fraction form
    13,137.50/19,842.63 = 19,842.63/x
  3. Step 3: Cross multiply
    13,137.50x = 19,842.63 × 19,842.63
  4. Step 4: Simplify right side
    13,137.50x = 393,729,766.89
  5. Step 5: Solve for x
    x = 393,729,766.89/13,137.50
  6. Step 6: Final answer
    x = 29,969.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.