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Finding the Third Proportional to 20,835.25 and 44,951

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Solution

The third proportional to 20,835.25 and 44,951 is: 96,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.25 : 44,951 = 44,951 : x
  2. Step 2: Convert to fraction form
    20,835.25/44,951 = 44,951/x
  3. Step 3: Cross multiply
    20,835.25x = 44,951 × 44,951
  4. Step 4: Simplify right side
    20,835.25x = 2,020,592,401
  5. Step 5: Solve for x
    x = 2,020,592,401/20,835.25
  6. Step 6: Final answer
    x = 96,979.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.