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Finding the Third Proportional to 37,247.34 and 78,800.34

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Solution

The third proportional to 37,247.34 and 78,800.34 is: 166,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,247.34 : 78,800.34 = 78,800.34 : x
  2. Step 2: Convert to fraction form
    37,247.34/78,800.34 = 78,800.34/x
  3. Step 3: Cross multiply
    37,247.34x = 78,800.34 × 78,800.34
  4. Step 4: Simplify right side
    37,247.34x = 6,209,494,175.12
  5. Step 5: Solve for x
    x = 6,209,494,175.12/37,247.34
  6. Step 6: Final answer
    x = 166,709.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.