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Finding the Third Proportional to 38,004.19 and 54,983.81

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Solution

The third proportional to 38,004.19 and 54,983.81 is: 79,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.19 : 54,983.81 = 54,983.81 : x
  2. Step 2: Convert to fraction form
    38,004.19/54,983.81 = 54,983.81/x
  3. Step 3: Cross multiply
    38,004.19x = 54,983.81 × 54,983.81
  4. Step 4: Simplify right side
    38,004.19x = 3,023,219,637.04
  5. Step 5: Solve for x
    x = 3,023,219,637.04/38,004.19
  6. Step 6: Final answer
    x = 79,549.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.