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Finding the Third Proportional to 20,582.86 and 44,138.67

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Solution

The third proportional to 20,582.86 and 44,138.67 is: 94,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.86 : 44,138.67 = 44,138.67 : x
  2. Step 2: Convert to fraction form
    20,582.86/44,138.67 = 44,138.67/x
  3. Step 3: Cross multiply
    20,582.86x = 44,138.67 × 44,138.67
  4. Step 4: Simplify right side
    20,582.86x = 1,948,222,354.89
  5. Step 5: Solve for x
    x = 1,948,222,354.89/20,582.86
  6. Step 6: Final answer
    x = 94,652.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.