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Finding the Third Proportional to 37,494.14 and 52,740.42

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Solution

The third proportional to 37,494.14 and 52,740.42 is: 74,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,494.14 : 52,740.42 = 52,740.42 : x
  2. Step 2: Convert to fraction form
    37,494.14/52,740.42 = 52,740.42/x
  3. Step 3: Cross multiply
    37,494.14x = 52,740.42 × 52,740.42
  4. Step 4: Simplify right side
    37,494.14x = 2,781,552,099.55
  5. Step 5: Solve for x
    x = 2,781,552,099.55/37,494.14
  6. Step 6: Final answer
    x = 74,186.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.