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Finding the Third Proportional to 20,260.13 and 27,274.50

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Solution

The third proportional to 20,260.13 and 27,274.50 is: 36,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,260.13 : 27,274.50 = 27,274.50 : x
  2. Step 2: Convert to fraction form
    20,260.13/27,274.50 = 27,274.50/x
  3. Step 3: Cross multiply
    20,260.13x = 27,274.50 × 27,274.50
  4. Step 4: Simplify right side
    20,260.13x = 743,898,350.25
  5. Step 5: Solve for x
    x = 743,898,350.25/20,260.13
  6. Step 6: Final answer
    x = 36,717.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.