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Finding the Third Proportional to 27,131 and 40,302.75

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Solution

The third proportional to 27,131 and 40,302.75 is: 59,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131 : 40,302.75 = 40,302.75 : x
  2. Step 2: Convert to fraction form
    27,131/40,302.75 = 40,302.75/x
  3. Step 3: Cross multiply
    27,131x = 40,302.75 × 40,302.75
  4. Step 4: Simplify right side
    27,131x = 1,624,311,657.56
  5. Step 5: Solve for x
    x = 1,624,311,657.56/27,131
  6. Step 6: Final answer
    x = 59,869.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.