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Finding the Third Proportional to 29,658 and 46,189.50

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Solution

The third proportional to 29,658 and 46,189.50 is: 71,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658 : 46,189.50 = 46,189.50 : x
  2. Step 2: Convert to fraction form
    29,658/46,189.50 = 46,189.50/x
  3. Step 3: Cross multiply
    29,658x = 46,189.50 × 46,189.50
  4. Step 4: Simplify right side
    29,658x = 2,133,469,910.25
  5. Step 5: Solve for x
    x = 2,133,469,910.25/29,658
  6. Step 6: Final answer
    x = 71,935.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.