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Finding the Third Proportional to 9,757.25 and 21,074.50

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Solution

The third proportional to 9,757.25 and 21,074.50 is: 45,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.25 : 21,074.50 = 21,074.50 : x
  2. Step 2: Convert to fraction form
    9,757.25/21,074.50 = 21,074.50/x
  3. Step 3: Cross multiply
    9,757.25x = 21,074.50 × 21,074.50
  4. Step 4: Simplify right side
    9,757.25x = 444,134,550.25
  5. Step 5: Solve for x
    x = 444,134,550.25/9,757.25
  6. Step 6: Final answer
    x = 45,518.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.