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Finding the Third Proportional to 9,437.75 and 19,793.50

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Solution

The third proportional to 9,437.75 and 19,793.50 is: 41,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.75 : 19,793.50 = 19,793.50 : x
  2. Step 2: Convert to fraction form
    9,437.75/19,793.50 = 19,793.50/x
  3. Step 3: Cross multiply
    9,437.75x = 19,793.50 × 19,793.50
  4. Step 4: Simplify right side
    9,437.75x = 391,782,642.25
  5. Step 5: Solve for x
    x = 391,782,642.25/9,437.75
  6. Step 6: Final answer
    x = 41,512.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.