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Finding the Third Proportional to 22,157.72 and 48,620.67

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Solution

The third proportional to 22,157.72 and 48,620.67 is: 106,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.72 : 48,620.67 = 48,620.67 : x
  2. Step 2: Convert to fraction form
    22,157.72/48,620.67 = 48,620.67/x
  3. Step 3: Cross multiply
    22,157.72x = 48,620.67 × 48,620.67
  4. Step 4: Simplify right side
    22,157.72x = 2,363,969,733.58
  5. Step 5: Solve for x
    x = 2,363,969,733.58/22,157.72
  6. Step 6: Final answer
    x = 106,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.