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Finding the Third Proportional to 20,833.10 and 44,997.95

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Solution

The third proportional to 20,833.10 and 44,997.95 is: 97,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.10 : 44,997.95 = 44,997.95 : x
  2. Step 2: Convert to fraction form
    20,833.10/44,997.95 = 44,997.95/x
  3. Step 3: Cross multiply
    20,833.10x = 44,997.95 × 44,997.95
  4. Step 4: Simplify right side
    20,833.10x = 2,024,815,697.55
  5. Step 5: Solve for x
    x = 2,024,815,697.55/20,833.10
  6. Step 6: Final answer
    x = 97,192.26

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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.