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Finding the Third Proportional to 27,396 and 40,119

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Solution

The third proportional to 27,396 and 40,119 is: 58,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 40,119 = 40,119 : x
  2. Step 2: Convert to fraction form
    27,396/40,119 = 40,119/x
  3. Step 3: Cross multiply
    27,396x = 40,119 × 40,119
  4. Step 4: Simplify right side
    27,396x = 1,609,534,161
  5. Step 5: Solve for x
    x = 1,609,534,161/27,396
  6. Step 6: Final answer
    x = 58,750.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.