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Finding the Third Proportional to 27,203 and 40,678

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Solution

The third proportional to 27,203 and 40,678 is: 60,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,203 : 40,678 = 40,678 : x
  2. Step 2: Convert to fraction form
    27,203/40,678 = 40,678/x
  3. Step 3: Cross multiply
    27,203x = 40,678 × 40,678
  4. Step 4: Simplify right side
    27,203x = 1,654,699,684
  5. Step 5: Solve for x
    x = 1,654,699,684/27,203
  6. Step 6: Final answer
    x = 60,827.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.