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Finding the Third Proportional to 27,276.75 and 37,023.75

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Solution

The third proportional to 27,276.75 and 37,023.75 is: 50,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276.75 : 37,023.75 = 37,023.75 : x
  2. Step 2: Convert to fraction form
    27,276.75/37,023.75 = 37,023.75/x
  3. Step 3: Cross multiply
    27,276.75x = 37,023.75 × 37,023.75
  4. Step 4: Simplify right side
    27,276.75x = 1,370,758,064.06
  5. Step 5: Solve for x
    x = 1,370,758,064.06/27,276.75
  6. Step 6: Final answer
    x = 50,253.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.