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Finding the Third Proportional to 13,972.50 and 15,271.03

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Solution

The third proportional to 13,972.50 and 15,271.03 is: 16,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 15,271.03 = 15,271.03 : x
  2. Step 2: Convert to fraction form
    13,972.50/15,271.03 = 15,271.03/x
  3. Step 3: Cross multiply
    13,972.50x = 15,271.03 × 15,271.03
  4. Step 4: Simplify right side
    13,972.50x = 233,204,395.44
  5. Step 5: Solve for x
    x = 233,204,395.44/13,972.50
  6. Step 6: Final answer
    x = 16,690.24

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.