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Finding the Third Proportional to 38,043 and 54,798.19

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Solution

The third proportional to 38,043 and 54,798.19 is: 78,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 54,798.19 = 54,798.19 : x
  2. Step 2: Convert to fraction form
    38,043/54,798.19 = 54,798.19/x
  3. Step 3: Cross multiply
    38,043x = 54,798.19 × 54,798.19
  4. Step 4: Simplify right side
    38,043x = 3,002,841,353.29
  5. Step 5: Solve for x
    x = 3,002,841,353.29/38,043
  6. Step 6: Final answer
    x = 78,932.82

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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.