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Finding the Third Proportional to 30,806 and 43,641

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Solution

The third proportional to 30,806 and 43,641 is: 61,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806 : 43,641 = 43,641 : x
  2. Step 2: Convert to fraction form
    30,806/43,641 = 43,641/x
  3. Step 3: Cross multiply
    30,806x = 43,641 × 43,641
  4. Step 4: Simplify right side
    30,806x = 1,904,536,881
  5. Step 5: Solve for x
    x = 1,904,536,881/30,806
  6. Step 6: Final answer
    x = 61,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.