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Finding the Third Proportional to 28,749.94 and 38,356.03

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Solution

The third proportional to 28,749.94 and 38,356.03 is: 51,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,749.94 : 38,356.03 = 38,356.03 : x
  2. Step 2: Convert to fraction form
    28,749.94/38,356.03 = 38,356.03/x
  3. Step 3: Cross multiply
    28,749.94x = 38,356.03 × 38,356.03
  4. Step 4: Simplify right side
    28,749.94x = 1,471,185,133.25
  5. Step 5: Solve for x
    x = 1,471,185,133.25/28,749.94
  6. Step 6: Final answer
    x = 51,171.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.