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Finding the Third Proportional to 27,021.38 and 55,378.13

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Solution

The third proportional to 27,021.38 and 55,378.13 is: 113,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021.38 : 55,378.13 = 55,378.13 : x
  2. Step 2: Convert to fraction form
    27,021.38/55,378.13 = 55,378.13/x
  3. Step 3: Cross multiply
    27,021.38x = 55,378.13 × 55,378.13
  4. Step 4: Simplify right side
    27,021.38x = 3,066,736,728.52
  5. Step 5: Solve for x
    x = 3,066,736,728.52/27,021.38
  6. Step 6: Final answer
    x = 113,492.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.