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Finding the Third Proportional to 27,944 and 32,840

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Solution

The third proportional to 27,944 and 32,840 is: 38,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944 : 32,840 = 32,840 : x
  2. Step 2: Convert to fraction form
    27,944/32,840 = 32,840/x
  3. Step 3: Cross multiply
    27,944x = 32,840 × 32,840
  4. Step 4: Simplify right side
    27,944x = 1,078,465,600
  5. Step 5: Solve for x
    x = 1,078,465,600/27,944
  6. Step 6: Final answer
    x = 38,593.82

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.