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Finding the Third Proportional to 36,142.88 and 74,798.44

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Solution

The third proportional to 36,142.88 and 74,798.44 is: 154,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.88 : 74,798.44 = 74,798.44 : x
  2. Step 2: Convert to fraction form
    36,142.88/74,798.44 = 74,798.44/x
  3. Step 3: Cross multiply
    36,142.88x = 74,798.44 × 74,798.44
  4. Step 4: Simplify right side
    36,142.88x = 5,594,806,252.44
  5. Step 5: Solve for x
    x = 5,594,806,252.44/36,142.88
  6. Step 6: Final answer
    x = 154,796.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.