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Finding the Third Proportional to 14,037 and 23,391

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Solution

The third proportional to 14,037 and 23,391 is: 38,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037 : 23,391 = 23,391 : x
  2. Step 2: Convert to fraction form
    14,037/23,391 = 23,391/x
  3. Step 3: Cross multiply
    14,037x = 23,391 × 23,391
  4. Step 4: Simplify right side
    14,037x = 547,138,881
  5. Step 5: Solve for x
    x = 547,138,881/14,037
  6. Step 6: Final answer
    x = 38,978.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.