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Finding the Third Proportional to 28,973 and 38,806

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Solution

The third proportional to 28,973 and 38,806 is: 51,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,973 : 38,806 = 38,806 : x
  2. Step 2: Convert to fraction form
    28,973/38,806 = 38,806/x
  3. Step 3: Cross multiply
    28,973x = 38,806 × 38,806
  4. Step 4: Simplify right side
    28,973x = 1,505,905,636
  5. Step 5: Solve for x
    x = 1,505,905,636/28,973
  6. Step 6: Final answer
    x = 51,976.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.