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Finding the Third Proportional to 20,252.53 and 27,264.09

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Solution

The third proportional to 20,252.53 and 27,264.09 is: 36,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.53 : 27,264.09 = 27,264.09 : x
  2. Step 2: Convert to fraction form
    20,252.53/27,264.09 = 27,264.09/x
  3. Step 3: Cross multiply
    20,252.53x = 27,264.09 × 27,264.09
  4. Step 4: Simplify right side
    20,252.53x = 743,330,808.01
  5. Step 5: Solve for x
    x = 743,330,808.01/20,252.53
  6. Step 6: Final answer
    x = 36,703.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.