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Finding the Third Proportional to 34,217.44 and 69,346.13

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Solution

The third proportional to 34,217.44 and 69,346.13 is: 140,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,217.44 : 69,346.13 = 69,346.13 : x
  2. Step 2: Convert to fraction form
    34,217.44/69,346.13 = 69,346.13/x
  3. Step 3: Cross multiply
    34,217.44x = 69,346.13 × 69,346.13
  4. Step 4: Simplify right side
    34,217.44x = 4,808,885,052.52
  5. Step 5: Solve for x
    x = 4,808,885,052.52/34,217.44
  6. Step 6: Final answer
    x = 140,539.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.