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Finding the Third Proportional to 27,140 and 38,739

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Solution

The third proportional to 27,140 and 38,739 is: 55,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140 : 38,739 = 38,739 : x
  2. Step 2: Convert to fraction form
    27,140/38,739 = 38,739/x
  3. Step 3: Cross multiply
    27,140x = 38,739 × 38,739
  4. Step 4: Simplify right side
    27,140x = 1,500,710,121
  5. Step 5: Solve for x
    x = 1,500,710,121/27,140
  6. Step 6: Final answer
    x = 55,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.