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Finding the Third Proportional to 29,544 and 44,337.38

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Solution

The third proportional to 29,544 and 44,337.38 is: 66,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 44,337.38 = 44,337.38 : x
  2. Step 2: Convert to fraction form
    29,544/44,337.38 = 44,337.38/x
  3. Step 3: Cross multiply
    29,544x = 44,337.38 × 44,337.38
  4. Step 4: Simplify right side
    29,544x = 1,965,802,821.89
  5. Step 5: Solve for x
    x = 1,965,802,821.89/29,544
  6. Step 6: Final answer
    x = 66,538.14

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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.