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Finding the Third Proportional to 13,075 and 19,954.50

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Solution

The third proportional to 13,075 and 19,954.50 is: 30,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075 : 19,954.50 = 19,954.50 : x
  2. Step 2: Convert to fraction form
    13,075/19,954.50 = 19,954.50/x
  3. Step 3: Cross multiply
    13,075x = 19,954.50 × 19,954.50
  4. Step 4: Simplify right side
    13,075x = 398,182,070.25
  5. Step 5: Solve for x
    x = 398,182,070.25/13,075
  6. Step 6: Final answer
    x = 30,453.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.