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Finding the Third Proportional to 37,671 and 56,588

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Solution

The third proportional to 37,671 and 56,588 is: 85,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671 : 56,588 = 56,588 : x
  2. Step 2: Convert to fraction form
    37,671/56,588 = 56,588/x
  3. Step 3: Cross multiply
    37,671x = 56,588 × 56,588
  4. Step 4: Simplify right side
    37,671x = 3,202,201,744
  5. Step 5: Solve for x
    x = 3,202,201,744/37,671
  6. Step 6: Final answer
    x = 85,004.43

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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.