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Finding the Third Proportional to 16,233 and 24,457

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Solution

The third proportional to 16,233 and 24,457 is: 36,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233 : 24,457 = 24,457 : x
  2. Step 2: Convert to fraction form
    16,233/24,457 = 24,457/x
  3. Step 3: Cross multiply
    16,233x = 24,457 × 24,457
  4. Step 4: Simplify right side
    16,233x = 598,144,849
  5. Step 5: Solve for x
    x = 598,144,849/16,233
  6. Step 6: Final answer
    x = 36,847.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.