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Finding the Third Proportional to 21,930.75 and 28,046.25

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Solution

The third proportional to 21,930.75 and 28,046.25 is: 35,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.75 : 28,046.25 = 28,046.25 : x
  2. Step 2: Convert to fraction form
    21,930.75/28,046.25 = 28,046.25/x
  3. Step 3: Cross multiply
    21,930.75x = 28,046.25 × 28,046.25
  4. Step 4: Simplify right side
    21,930.75x = 786,592,139.06
  5. Step 5: Solve for x
    x = 786,592,139.06/21,930.75
  6. Step 6: Final answer
    x = 35,867.09

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.