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Finding the Third Proportional to 49,666.50 and 74,609.44

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Solution

The third proportional to 49,666.50 and 74,609.44 is: 112,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,666.50 : 74,609.44 = 74,609.44 : x
  2. Step 2: Convert to fraction form
    49,666.50/74,609.44 = 74,609.44/x
  3. Step 3: Cross multiply
    49,666.50x = 74,609.44 × 74,609.44
  4. Step 4: Simplify right side
    49,666.50x = 5,566,568,164.07
  5. Step 5: Solve for x
    x = 5,566,568,164.07/49,666.50
  6. Step 6: Final answer
    x = 112,078.93

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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.