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Finding the Third Proportional to 29,713.50 and 44,408.25

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Solution

The third proportional to 29,713.50 and 44,408.25 is: 66,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.50 : 44,408.25 = 44,408.25 : x
  2. Step 2: Convert to fraction form
    29,713.50/44,408.25 = 44,408.25/x
  3. Step 3: Cross multiply
    29,713.50x = 44,408.25 × 44,408.25
  4. Step 4: Simplify right side
    29,713.50x = 1,972,092,668.06
  5. Step 5: Solve for x
    x = 1,972,092,668.06/29,713.50
  6. Step 6: Final answer
    x = 66,370.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.