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Finding the Third Proportional to 16,024 and 25,596

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Solution

The third proportional to 16,024 and 25,596 is: 40,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 25,596 = 25,596 : x
  2. Step 2: Convert to fraction form
    16,024/25,596 = 25,596/x
  3. Step 3: Cross multiply
    16,024x = 25,596 × 25,596
  4. Step 4: Simplify right side
    16,024x = 655,155,216
  5. Step 5: Solve for x
    x = 655,155,216/16,024
  6. Step 6: Final answer
    x = 40,885.87

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.