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Finding the Third Proportional to 27,182.25 and 39,723.75

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Solution

The third proportional to 27,182.25 and 39,723.75 is: 58,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.25 : 39,723.75 = 39,723.75 : x
  2. Step 2: Convert to fraction form
    27,182.25/39,723.75 = 39,723.75/x
  3. Step 3: Cross multiply
    27,182.25x = 39,723.75 × 39,723.75
  4. Step 4: Simplify right side
    27,182.25x = 1,577,976,314.06
  5. Step 5: Solve for x
    x = 1,577,976,314.06/27,182.25
  6. Step 6: Final answer
    x = 58,051.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.