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Finding the Third Proportional to 21,930.75 and 47,000.25

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Solution

The third proportional to 21,930.75 and 47,000.25 is: 100,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.75 : 47,000.25 = 47,000.25 : x
  2. Step 2: Convert to fraction form
    21,930.75/47,000.25 = 47,000.25/x
  3. Step 3: Cross multiply
    21,930.75x = 47,000.25 × 47,000.25
  4. Step 4: Simplify right side
    21,930.75x = 2,209,023,500.06
  5. Step 5: Solve for x
    x = 2,209,023,500.06/21,930.75
  6. Step 6: Final answer
    x = 100,727.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.