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Finding the Third Proportional to 34,438.50 and 73,011

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Solution

The third proportional to 34,438.50 and 73,011 is: 154,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438.50 : 73,011 = 73,011 : x
  2. Step 2: Convert to fraction form
    34,438.50/73,011 = 73,011/x
  3. Step 3: Cross multiply
    34,438.50x = 73,011 × 73,011
  4. Step 4: Simplify right side
    34,438.50x = 5,330,606,121
  5. Step 5: Solve for x
    x = 5,330,606,121/34,438.50
  6. Step 6: Final answer
    x = 154,786.25

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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.