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Finding the Third Proportional to 12,317.38 and 27,922.75

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Solution

The third proportional to 12,317.38 and 27,922.75 is: 63,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.38 : 27,922.75 = 27,922.75 : x
  2. Step 2: Convert to fraction form
    12,317.38/27,922.75 = 27,922.75/x
  3. Step 3: Cross multiply
    12,317.38x = 27,922.75 × 27,922.75
  4. Step 4: Simplify right side
    12,317.38x = 779,679,967.56
  5. Step 5: Solve for x
    x = 779,679,967.56/12,317.38
  6. Step 6: Final answer
    x = 63,299.20

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.