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Finding the Third Proportional to 16,082 and 24,733

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Solution

The third proportional to 16,082 and 24,733 is: 38,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082 : 24,733 = 24,733 : x
  2. Step 2: Convert to fraction form
    16,082/24,733 = 24,733/x
  3. Step 3: Cross multiply
    16,082x = 24,733 × 24,733
  4. Step 4: Simplify right side
    16,082x = 611,721,289
  5. Step 5: Solve for x
    x = 611,721,289/16,082
  6. Step 6: Final answer
    x = 38,037.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.