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Finding the Third Proportional to 20,180.44 and 27,702.28

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Solution

The third proportional to 20,180.44 and 27,702.28 is: 38,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.44 : 27,702.28 = 27,702.28 : x
  2. Step 2: Convert to fraction form
    20,180.44/27,702.28 = 27,702.28/x
  3. Step 3: Cross multiply
    20,180.44x = 27,702.28 × 27,702.28
  4. Step 4: Simplify right side
    20,180.44x = 767,416,386.45
  5. Step 5: Solve for x
    x = 767,416,386.45/20,180.44
  6. Step 6: Final answer
    x = 38,027.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.