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Finding the Third Proportional to 16,408.20 and 25,159.04

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Solution

The third proportional to 16,408.20 and 25,159.04 is: 38,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.20 : 25,159.04 = 25,159.04 : x
  2. Step 2: Convert to fraction form
    16,408.20/25,159.04 = 25,159.04/x
  3. Step 3: Cross multiply
    16,408.20x = 25,159.04 × 25,159.04
  4. Step 4: Simplify right side
    16,408.20x = 632,977,443.10
  5. Step 5: Solve for x
    x = 632,977,443.10/16,408.20
  6. Step 6: Final answer
    x = 38,576.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.