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Finding the Third Proportional to 20,776.50 and 48,615.19

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Solution

The third proportional to 20,776.50 and 48,615.19 is: 113,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.50 : 48,615.19 = 48,615.19 : x
  2. Step 2: Convert to fraction form
    20,776.50/48,615.19 = 48,615.19/x
  3. Step 3: Cross multiply
    20,776.50x = 48,615.19 × 48,615.19
  4. Step 4: Simplify right side
    20,776.50x = 2,363,436,455.66
  5. Step 5: Solve for x
    x = 2,363,436,455.66/20,776.50
  6. Step 6: Final answer
    x = 113,755.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.