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Finding the Third Proportional to 13,269 and 23,703

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Solution

The third proportional to 13,269 and 23,703 is: 42,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269 : 23,703 = 23,703 : x
  2. Step 2: Convert to fraction form
    13,269/23,703 = 23,703/x
  3. Step 3: Cross multiply
    13,269x = 23,703 × 23,703
  4. Step 4: Simplify right side
    13,269x = 561,832,209
  5. Step 5: Solve for x
    x = 561,832,209/13,269
  6. Step 6: Final answer
    x = 42,341.71

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.