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Finding the Third Proportional to 36,056 and 54,540

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Solution

The third proportional to 36,056 and 54,540 is: 82,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,056 : 54,540 = 54,540 : x
  2. Step 2: Convert to fraction form
    36,056/54,540 = 54,540/x
  3. Step 3: Cross multiply
    36,056x = 54,540 × 54,540
  4. Step 4: Simplify right side
    36,056x = 2,974,611,600
  5. Step 5: Solve for x
    x = 2,974,611,600/36,056
  6. Step 6: Final answer
    x = 82,499.77

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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.