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Finding the Third Proportional to 38,749.88 and 54,846.13

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Solution

The third proportional to 38,749.88 and 54,846.13 is: 77,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,749.88 : 54,846.13 = 54,846.13 : x
  2. Step 2: Convert to fraction form
    38,749.88/54,846.13 = 54,846.13/x
  3. Step 3: Cross multiply
    38,749.88x = 54,846.13 × 54,846.13
  4. Step 4: Simplify right side
    38,749.88x = 3,008,097,427.52
  5. Step 5: Solve for x
    x = 3,008,097,427.52/38,749.88
  6. Step 6: Final answer
    x = 77,628.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.