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Finding the Third Proportional to 30,581 and 43,064

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Solution

The third proportional to 30,581 and 43,064 is: 60,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581 : 43,064 = 43,064 : x
  2. Step 2: Convert to fraction form
    30,581/43,064 = 43,064/x
  3. Step 3: Cross multiply
    30,581x = 43,064 × 43,064
  4. Step 4: Simplify right side
    30,581x = 1,854,508,096
  5. Step 5: Solve for x
    x = 1,854,508,096/30,581
  6. Step 6: Final answer
    x = 60,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.