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Finding the Third Proportional to 27,250 and 40,967

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Solution

The third proportional to 27,250 and 40,967 is: 61,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,250 : 40,967 = 40,967 : x
  2. Step 2: Convert to fraction form
    27,250/40,967 = 40,967/x
  3. Step 3: Cross multiply
    27,250x = 40,967 × 40,967
  4. Step 4: Simplify right side
    27,250x = 1,678,295,089
  5. Step 5: Solve for x
    x = 1,678,295,089/27,250
  6. Step 6: Final answer
    x = 61,588.81

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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.