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Finding the Third Proportional to 12,314.53 and 27,012.23

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Solution

The third proportional to 12,314.53 and 27,012.23 is: 59,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.53 : 27,012.23 = 27,012.23 : x
  2. Step 2: Convert to fraction form
    12,314.53/27,012.23 = 27,012.23/x
  3. Step 3: Cross multiply
    12,314.53x = 27,012.23 × 27,012.23
  4. Step 4: Simplify right side
    12,314.53x = 729,660,805.93
  5. Step 5: Solve for x
    x = 729,660,805.93/12,314.53
  6. Step 6: Final answer
    x = 59,252.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.