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Finding the Third Proportional to 27,707.50 and 37,133

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Solution

The third proportional to 27,707.50 and 37,133 is: 49,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.50 : 37,133 = 37,133 : x
  2. Step 2: Convert to fraction form
    27,707.50/37,133 = 37,133/x
  3. Step 3: Cross multiply
    27,707.50x = 37,133 × 37,133
  4. Step 4: Simplify right side
    27,707.50x = 1,378,859,689
  5. Step 5: Solve for x
    x = 1,378,859,689/27,707.50
  6. Step 6: Final answer
    x = 49,764.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.