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Finding the Third Proportional to 47,550 and 73,925

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Solution

The third proportional to 47,550 and 73,925 is: 114,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550 : 73,925 = 73,925 : x
  2. Step 2: Convert to fraction form
    47,550/73,925 = 73,925/x
  3. Step 3: Cross multiply
    47,550x = 73,925 × 73,925
  4. Step 4: Simplify right side
    47,550x = 5,464,905,625
  5. Step 5: Solve for x
    x = 5,464,905,625/47,550
  6. Step 6: Final answer
    x = 114,929.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.