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Finding the Third Proportional to 38,035.13 and 55,976.63

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Solution

The third proportional to 38,035.13 and 55,976.63 is: 82,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035.13 : 55,976.63 = 55,976.63 : x
  2. Step 2: Convert to fraction form
    38,035.13/55,976.63 = 55,976.63/x
  3. Step 3: Cross multiply
    38,035.13x = 55,976.63 × 55,976.63
  4. Step 4: Simplify right side
    38,035.13x = 3,133,382,546.39
  5. Step 5: Solve for x
    x = 3,133,382,546.39/38,035.13
  6. Step 6: Final answer
    x = 82,381.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.