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Finding the Third Proportional to 27,907 and 40,270

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Solution

The third proportional to 27,907 and 40,270 is: 58,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907 : 40,270 = 40,270 : x
  2. Step 2: Convert to fraction form
    27,907/40,270 = 40,270/x
  3. Step 3: Cross multiply
    27,907x = 40,270 × 40,270
  4. Step 4: Simplify right side
    27,907x = 1,621,672,900
  5. Step 5: Solve for x
    x = 1,621,672,900/27,907
  6. Step 6: Final answer
    x = 58,109.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.