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Finding the Third Proportional to 30,594 and 43,085

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Solution

The third proportional to 30,594 and 43,085 is: 60,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594 : 43,085 = 43,085 : x
  2. Step 2: Convert to fraction form
    30,594/43,085 = 43,085/x
  3. Step 3: Cross multiply
    30,594x = 43,085 × 43,085
  4. Step 4: Simplify right side
    30,594x = 1,856,317,225
  5. Step 5: Solve for x
    x = 1,856,317,225/30,594
  6. Step 6: Final answer
    x = 60,675.86

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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.