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Finding the Third Proportional to 17,672 and 24,306

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Solution

The third proportional to 17,672 and 24,306 is: 33,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672 : 24,306 = 24,306 : x
  2. Step 2: Convert to fraction form
    17,672/24,306 = 24,306/x
  3. Step 3: Cross multiply
    17,672x = 24,306 × 24,306
  4. Step 4: Simplify right side
    17,672x = 590,781,636
  5. Step 5: Solve for x
    x = 590,781,636/17,672
  6. Step 6: Final answer
    x = 33,430.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.