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Finding the Third Proportional to 4,551 and 9,998.25

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Solution

The third proportional to 4,551 and 9,998.25 is: 21,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551 : 9,998.25 = 9,998.25 : x
  2. Step 2: Convert to fraction form
    4,551/9,998.25 = 9,998.25/x
  3. Step 3: Cross multiply
    4,551x = 9,998.25 × 9,998.25
  4. Step 4: Simplify right side
    4,551x = 99,965,003.06
  5. Step 5: Solve for x
    x = 99,965,003.06/4,551
  6. Step 6: Final answer
    x = 21,965.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.