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Finding the Third Proportional to 27,148 and 40,935

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Solution

The third proportional to 27,148 and 40,935 is: 61,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,148 : 40,935 = 40,935 : x
  2. Step 2: Convert to fraction form
    27,148/40,935 = 40,935/x
  3. Step 3: Cross multiply
    27,148x = 40,935 × 40,935
  4. Step 4: Simplify right side
    27,148x = 1,675,674,225
  5. Step 5: Solve for x
    x = 1,675,674,225/27,148
  6. Step 6: Final answer
    x = 61,723.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.