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Finding the Third Proportional to 18,342 and 26,235

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Solution

The third proportional to 18,342 and 26,235 is: 37,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342 : 26,235 = 26,235 : x
  2. Step 2: Convert to fraction form
    18,342/26,235 = 26,235/x
  3. Step 3: Cross multiply
    18,342x = 26,235 × 26,235
  4. Step 4: Simplify right side
    18,342x = 688,275,225
  5. Step 5: Solve for x
    x = 688,275,225/18,342
  6. Step 6: Final answer
    x = 37,524.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.