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Finding the Third Proportional to 29,738.44 and 42,744.56

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Solution

The third proportional to 29,738.44 and 42,744.56 is: 61,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.44 : 42,744.56 = 42,744.56 : x
  2. Step 2: Convert to fraction form
    29,738.44/42,744.56 = 42,744.56/x
  3. Step 3: Cross multiply
    29,738.44x = 42,744.56 × 42,744.56
  4. Step 4: Simplify right side
    29,738.44x = 1,827,097,623.32
  5. Step 5: Solve for x
    x = 1,827,097,623.32/29,738.44
  6. Step 6: Final answer
    x = 61,438.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.