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Finding the Third Proportional to 12,317.63 and 27,923.63

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Solution

The third proportional to 12,317.63 and 27,923.63 is: 63,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.63 : 27,923.63 = 27,923.63 : x
  2. Step 2: Convert to fraction form
    12,317.63/27,923.63 = 27,923.63/x
  3. Step 3: Cross multiply
    12,317.63x = 27,923.63 × 27,923.63
  4. Step 4: Simplify right side
    12,317.63x = 779,728,833.14
  5. Step 5: Solve for x
    x = 779,728,833.14/12,317.63
  6. Step 6: Final answer
    x = 63,301.88

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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.