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Finding the Third Proportional to 32,520 and 44,170

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Solution

The third proportional to 32,520 and 44,170 is: 59,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,520 : 44,170 = 44,170 : x
  2. Step 2: Convert to fraction form
    32,520/44,170 = 44,170/x
  3. Step 3: Cross multiply
    32,520x = 44,170 × 44,170
  4. Step 4: Simplify right side
    32,520x = 1,950,988,900
  5. Step 5: Solve for x
    x = 1,950,988,900/32,520
  6. Step 6: Final answer
    x = 59,993.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.