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Finding the Third Proportional to 13,414.50 and 21,271.50

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Solution

The third proportional to 13,414.50 and 21,271.50 is: 33,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.50 : 21,271.50 = 21,271.50 : x
  2. Step 2: Convert to fraction form
    13,414.50/21,271.50 = 21,271.50/x
  3. Step 3: Cross multiply
    13,414.50x = 21,271.50 × 21,271.50
  4. Step 4: Simplify right side
    13,414.50x = 452,476,712.25
  5. Step 5: Solve for x
    x = 452,476,712.25/13,414.50
  6. Step 6: Final answer
    x = 33,730.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.