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Finding the Third Proportional to 10,503.75 and 17,346.75

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Solution

The third proportional to 10,503.75 and 17,346.75 is: 28,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.75 : 17,346.75 = 17,346.75 : x
  2. Step 2: Convert to fraction form
    10,503.75/17,346.75 = 17,346.75/x
  3. Step 3: Cross multiply
    10,503.75x = 17,346.75 × 17,346.75
  4. Step 4: Simplify right side
    10,503.75x = 300,909,735.56
  5. Step 5: Solve for x
    x = 300,909,735.56/10,503.75
  6. Step 6: Final answer
    x = 28,647.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.