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Finding the Third Proportional to 10,432 and 18,208

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Solution

The third proportional to 10,432 and 18,208 is: 31,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 18,208 = 18,208 : x
  2. Step 2: Convert to fraction form
    10,432/18,208 = 18,208/x
  3. Step 3: Cross multiply
    10,432x = 18,208 × 18,208
  4. Step 4: Simplify right side
    10,432x = 331,531,264
  5. Step 5: Solve for x
    x = 331,531,264/10,432
  6. Step 6: Final answer
    x = 31,780.22

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.