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Finding the Third Proportional to 14,638 and 21,703

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Solution

The third proportional to 14,638 and 21,703 is: 32,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638 : 21,703 = 21,703 : x
  2. Step 2: Convert to fraction form
    14,638/21,703 = 21,703/x
  3. Step 3: Cross multiply
    14,638x = 21,703 × 21,703
  4. Step 4: Simplify right side
    14,638x = 471,020,209
  5. Step 5: Solve for x
    x = 471,020,209/14,638
  6. Step 6: Final answer
    x = 32,177.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.