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Finding the Third Proportional to 27,458 and 41,064

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Solution

The third proportional to 27,458 and 41,064 is: 61,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458 : 41,064 = 41,064 : x
  2. Step 2: Convert to fraction form
    27,458/41,064 = 41,064/x
  3. Step 3: Cross multiply
    27,458x = 41,064 × 41,064
  4. Step 4: Simplify right side
    27,458x = 1,686,252,096
  5. Step 5: Solve for x
    x = 1,686,252,096/27,458
  6. Step 6: Final answer
    x = 61,412.05

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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.