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Finding the Third Proportional to 9,947.25 and 21,500.25

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Solution

The third proportional to 9,947.25 and 21,500.25 is: 46,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.25 : 21,500.25 = 21,500.25 : x
  2. Step 2: Convert to fraction form
    9,947.25/21,500.25 = 21,500.25/x
  3. Step 3: Cross multiply
    9,947.25x = 21,500.25 × 21,500.25
  4. Step 4: Simplify right side
    9,947.25x = 462,260,750.06
  5. Step 5: Solve for x
    x = 462,260,750.06/9,947.25
  6. Step 6: Final answer
    x = 46,471.21

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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.