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Finding the Third Proportional to 20,252.53 and 27,097.03

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Solution

The third proportional to 20,252.53 and 27,097.03 is: 36,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.53 : 27,097.03 = 27,097.03 : x
  2. Step 2: Convert to fraction form
    20,252.53/27,097.03 = 27,097.03/x
  3. Step 3: Cross multiply
    20,252.53x = 27,097.03 × 27,097.03
  4. Step 4: Simplify right side
    20,252.53x = 734,249,102.56
  5. Step 5: Solve for x
    x = 734,249,102.56/20,252.53
  6. Step 6: Final answer
    x = 36,254.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.