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Finding the Third Proportional to 29,210 and 43,765

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Solution

The third proportional to 29,210 and 43,765 is: 65,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,210 : 43,765 = 43,765 : x
  2. Step 2: Convert to fraction form
    29,210/43,765 = 43,765/x
  3. Step 3: Cross multiply
    29,210x = 43,765 × 43,765
  4. Step 4: Simplify right side
    29,210x = 1,915,375,225
  5. Step 5: Solve for x
    x = 1,915,375,225/29,210
  6. Step 6: Final answer
    x = 65,572.59

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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.