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Finding the Third Proportional to 37,573 and 56,241

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Solution

The third proportional to 37,573 and 56,241 is: 84,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 56,241 = 56,241 : x
  2. Step 2: Convert to fraction form
    37,573/56,241 = 56,241/x
  3. Step 3: Cross multiply
    37,573x = 56,241 × 56,241
  4. Step 4: Simplify right side
    37,573x = 3,163,050,081
  5. Step 5: Solve for x
    x = 3,163,050,081/37,573
  6. Step 6: Final answer
    x = 84,184.12

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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.