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Finding the Third Proportional to 16,132 and 24,025

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Solution

The third proportional to 16,132 and 24,025 is: 35,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132 : 24,025 = 24,025 : x
  2. Step 2: Convert to fraction form
    16,132/24,025 = 24,025/x
  3. Step 3: Cross multiply
    16,132x = 24,025 × 24,025
  4. Step 4: Simplify right side
    16,132x = 577,200,625
  5. Step 5: Solve for x
    x = 577,200,625/16,132
  6. Step 6: Final answer
    x = 35,779.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.