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Finding the Third Proportional to 20,858 and 44,753.50

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Solution

The third proportional to 20,858 and 44,753.50 is: 96,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858 : 44,753.50 = 44,753.50 : x
  2. Step 2: Convert to fraction form
    20,858/44,753.50 = 44,753.50/x
  3. Step 3: Cross multiply
    20,858x = 44,753.50 × 44,753.50
  4. Step 4: Simplify right side
    20,858x = 2,002,875,762.25
  5. Step 5: Solve for x
    x = 2,002,875,762.25/20,858
  6. Step 6: Final answer
    x = 96,024.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.