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Finding the Third Proportional to 27,024 and 38,840

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Solution

The third proportional to 27,024 and 38,840 is: 55,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 38,840 = 38,840 : x
  2. Step 2: Convert to fraction form
    27,024/38,840 = 38,840/x
  3. Step 3: Cross multiply
    27,024x = 38,840 × 38,840
  4. Step 4: Simplify right side
    27,024x = 1,508,545,600
  5. Step 5: Solve for x
    x = 1,508,545,600/27,024
  6. Step 6: Final answer
    x = 55,822.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.