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Finding the Third Proportional to 13,907.50 and 30,174.50

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Solution

The third proportional to 13,907.50 and 30,174.50 is: 65,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.50 : 30,174.50 = 30,174.50 : x
  2. Step 2: Convert to fraction form
    13,907.50/30,174.50 = 30,174.50/x
  3. Step 3: Cross multiply
    13,907.50x = 30,174.50 × 30,174.50
  4. Step 4: Simplify right side
    13,907.50x = 910,500,450.25
  5. Step 5: Solve for x
    x = 910,500,450.25/13,907.50
  6. Step 6: Final answer
    x = 65,468.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.