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Finding the Third Proportional to 27,842 and 40,263

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Solution

The third proportional to 27,842 and 40,263 is: 58,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842 : 40,263 = 40,263 : x
  2. Step 2: Convert to fraction form
    27,842/40,263 = 40,263/x
  3. Step 3: Cross multiply
    27,842x = 40,263 × 40,263
  4. Step 4: Simplify right side
    27,842x = 1,621,109,169
  5. Step 5: Solve for x
    x = 1,621,109,169/27,842
  6. Step 6: Final answer
    x = 58,225.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.