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Finding the Third Proportional to 37,550 and 56,214

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Solution

The third proportional to 37,550 and 56,214 is: 84,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550 : 56,214 = 56,214 : x
  2. Step 2: Convert to fraction form
    37,550/56,214 = 56,214/x
  3. Step 3: Cross multiply
    37,550x = 56,214 × 56,214
  4. Step 4: Simplify right side
    37,550x = 3,160,013,796
  5. Step 5: Solve for x
    x = 3,160,013,796/37,550
  6. Step 6: Final answer
    x = 84,154.83

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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.