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Finding the Third Proportional to 27,094 and 40,642

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Solution

The third proportional to 27,094 and 40,642 is: 60,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094 : 40,642 = 40,642 : x
  2. Step 2: Convert to fraction form
    27,094/40,642 = 40,642/x
  3. Step 3: Cross multiply
    27,094x = 40,642 × 40,642
  4. Step 4: Simplify right side
    27,094x = 1,651,772,164
  5. Step 5: Solve for x
    x = 1,651,772,164/27,094
  6. Step 6: Final answer
    x = 60,964.50

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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.