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Finding the Third Proportional to 29,145 and 43,735.50

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Solution

The third proportional to 29,145 and 43,735.50 is: 65,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145 : 43,735.50 = 43,735.50 : x
  2. Step 2: Convert to fraction form
    29,145/43,735.50 = 43,735.50/x
  3. Step 3: Cross multiply
    29,145x = 43,735.50 × 43,735.50
  4. Step 4: Simplify right side
    29,145x = 1,912,793,960.25
  5. Step 5: Solve for x
    x = 1,912,793,960.25/29,145
  6. Step 6: Final answer
    x = 65,630.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.