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Finding the Third Proportional to 27,805 and 40,735

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Solution

The third proportional to 27,805 and 40,735 is: 59,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805 : 40,735 = 40,735 : x
  2. Step 2: Convert to fraction form
    27,805/40,735 = 40,735/x
  3. Step 3: Cross multiply
    27,805x = 40,735 × 40,735
  4. Step 4: Simplify right side
    27,805x = 1,659,340,225
  5. Step 5: Solve for x
    x = 1,659,340,225/27,805
  6. Step 6: Final answer
    x = 59,677.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.