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Finding the Third Proportional to 22,241.25 and 34,593.75

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Solution

The third proportional to 22,241.25 and 34,593.75 is: 53,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.25 : 34,593.75 = 34,593.75 : x
  2. Step 2: Convert to fraction form
    22,241.25/34,593.75 = 34,593.75/x
  3. Step 3: Cross multiply
    22,241.25x = 34,593.75 × 34,593.75
  4. Step 4: Simplify right side
    22,241.25x = 1,196,727,539.06
  5. Step 5: Solve for x
    x = 1,196,727,539.06/22,241.25
  6. Step 6: Final answer
    x = 53,806.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.