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Finding the Third Proportional to 13,572.56 and 21,014.44

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Solution

The third proportional to 13,572.56 and 21,014.44 is: 32,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.56 : 21,014.44 = 21,014.44 : x
  2. Step 2: Convert to fraction form
    13,572.56/21,014.44 = 21,014.44/x
  3. Step 3: Cross multiply
    13,572.56x = 21,014.44 × 21,014.44
  4. Step 4: Simplify right side
    13,572.56x = 441,606,583.44
  5. Step 5: Solve for x
    x = 441,606,583.44/13,572.56
  6. Step 6: Final answer
    x = 32,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.