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Finding the Third Proportional to 38,004.75 and 53,178.75

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Solution

The third proportional to 38,004.75 and 53,178.75 is: 74,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.75 : 53,178.75 = 53,178.75 : x
  2. Step 2: Convert to fraction form
    38,004.75/53,178.75 = 53,178.75/x
  3. Step 3: Cross multiply
    38,004.75x = 53,178.75 × 53,178.75
  4. Step 4: Simplify right side
    38,004.75x = 2,827,979,451.56
  5. Step 5: Solve for x
    x = 2,827,979,451.56/38,004.75
  6. Step 6: Final answer
    x = 74,411.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.