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Finding the Third Proportional to 30,197.50 and 64,049.50

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Solution

The third proportional to 30,197.50 and 64,049.50 is: 135,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.50 : 64,049.50 = 64,049.50 : x
  2. Step 2: Convert to fraction form
    30,197.50/64,049.50 = 64,049.50/x
  3. Step 3: Cross multiply
    30,197.50x = 64,049.50 × 64,049.50
  4. Step 4: Simplify right side
    30,197.50x = 4,102,338,450.25
  5. Step 5: Solve for x
    x = 4,102,338,450.25/30,197.50
  6. Step 6: Final answer
    x = 135,850.27

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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.