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Finding the Third Proportional to 28,806 and 38,745

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Solution

The third proportional to 28,806 and 38,745 is: 52,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,806 : 38,745 = 38,745 : x
  2. Step 2: Convert to fraction form
    28,806/38,745 = 38,745/x
  3. Step 3: Cross multiply
    28,806x = 38,745 × 38,745
  4. Step 4: Simplify right side
    28,806x = 1,501,175,025
  5. Step 5: Solve for x
    x = 1,501,175,025/28,806
  6. Step 6: Final answer
    x = 52,113.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.