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Finding the Third Proportional to 29,160.75 and 43,733.25

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Solution

The third proportional to 29,160.75 and 43,733.25 is: 65,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,160.75 : 43,733.25 = 43,733.25 : x
  2. Step 2: Convert to fraction form
    29,160.75/43,733.25 = 43,733.25/x
  3. Step 3: Cross multiply
    29,160.75x = 43,733.25 × 43,733.25
  4. Step 4: Simplify right side
    29,160.75x = 1,912,597,155.56
  5. Step 5: Solve for x
    x = 1,912,597,155.56/29,160.75
  6. Step 6: Final answer
    x = 65,588.06

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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.