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Finding the Third Proportional to 37,543 and 56,203

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Solution

The third proportional to 37,543 and 56,203 is: 84,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543 : 56,203 = 56,203 : x
  2. Step 2: Convert to fraction form
    37,543/56,203 = 56,203/x
  3. Step 3: Cross multiply
    37,543x = 56,203 × 56,203
  4. Step 4: Simplify right side
    37,543x = 3,158,777,209
  5. Step 5: Solve for x
    x = 3,158,777,209/37,543
  6. Step 6: Final answer
    x = 84,137.58

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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.