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Finding the Third Proportional to 20,826 and 45,348.75

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Solution

The third proportional to 20,826 and 45,348.75 is: 98,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 45,348.75 = 45,348.75 : x
  2. Step 2: Convert to fraction form
    20,826/45,348.75 = 45,348.75/x
  3. Step 3: Cross multiply
    20,826x = 45,348.75 × 45,348.75
  4. Step 4: Simplify right side
    20,826x = 2,056,509,126.56
  5. Step 5: Solve for x
    x = 2,056,509,126.56/20,826
  6. Step 6: Final answer
    x = 98,747.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.