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Finding the Third Proportional to 49,541.63 and 74,327.63

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Solution

The third proportional to 49,541.63 and 74,327.63 is: 111,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,541.63 : 74,327.63 = 74,327.63 : x
  2. Step 2: Convert to fraction form
    49,541.63/74,327.63 = 74,327.63/x
  3. Step 3: Cross multiply
    49,541.63x = 74,327.63 × 74,327.63
  4. Step 4: Simplify right side
    49,541.63x = 5,524,595,838.14
  5. Step 5: Solve for x
    x = 5,524,595,838.14/49,541.63
  6. Step 6: Final answer
    x = 111,514.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.