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Finding the Third Proportional to 5,166 and 10,637.25

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Solution

The third proportional to 5,166 and 10,637.25 is: 21,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 10,637.25 = 10,637.25 : x
  2. Step 2: Convert to fraction form
    5,166/10,637.25 = 10,637.25/x
  3. Step 3: Cross multiply
    5,166x = 10,637.25 × 10,637.25
  4. Step 4: Simplify right side
    5,166x = 113,151,087.56
  5. Step 5: Solve for x
    x = 113,151,087.56/5,166
  6. Step 6: Final answer
    x = 21,903.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.