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Finding the Third Proportional to 13,248 and 19,900.41

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Solution

The third proportional to 13,248 and 19,900.41 is: 29,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 19,900.41 = 19,900.41 : x
  2. Step 2: Convert to fraction form
    13,248/19,900.41 = 19,900.41/x
  3. Step 3: Cross multiply
    13,248x = 19,900.41 × 19,900.41
  4. Step 4: Simplify right side
    13,248x = 396,026,168.92
  5. Step 5: Solve for x
    x = 396,026,168.92/13,248
  6. Step 6: Final answer
    x = 29,893.28

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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.