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Finding the Third Proportional to 5,040 and 10,334.50

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Solution

The third proportional to 5,040 and 10,334.50 is: 21,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040 : 10,334.50 = 10,334.50 : x
  2. Step 2: Convert to fraction form
    5,040/10,334.50 = 10,334.50/x
  3. Step 3: Cross multiply
    5,040x = 10,334.50 × 10,334.50
  4. Step 4: Simplify right side
    5,040x = 106,801,890.25
  5. Step 5: Solve for x
    x = 106,801,890.25/5,040
  6. Step 6: Final answer
    x = 21,190.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.